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Finding the Fourth Proportional to 1,688.76, 2,330.21 and 1,016.42

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Solution

The fourth proportional to 1,688.76, 2,330.21 and 1,016.42 is: 1,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.76 : 2,330.21 = 1,016.42 : x
  2. Step 2: Convert to fraction form
    1,688.76/2,330.21 = 1,016.42/x
  3. Step 3: Cross multiply
    1,688.76x = 2,330.21 × 1,016.42
  4. Step 4: Simplify right side
    1,688.76x = 2,368,462.94
  5. Step 5: Solve for x
    x = 2,368,462.94/1,688.76
  6. Step 6: Final answer
    x = 1,402.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.