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Finding the Fourth Proportional to 1,254.42, 1,730.40 and 756.76

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Solution

The fourth proportional to 1,254.42, 1,730.40 and 756.76 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.42 : 1,730.40 = 756.76 : x
  2. Step 2: Convert to fraction form
    1,254.42/1,730.40 = 756.76/x
  3. Step 3: Cross multiply
    1,254.42x = 1,730.40 × 756.76
  4. Step 4: Simplify right side
    1,254.42x = 1,309,497.50
  5. Step 5: Solve for x
    x = 1,309,497.50/1,254.42
  6. Step 6: Final answer
    x = 1,043.91

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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.