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Finding the Fourth Proportional to 1,121.55, 1,682.10 and 427.74

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Solution

The fourth proportional to 1,121.55, 1,682.10 and 427.74 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.55 : 1,682.10 = 427.74 : x
  2. Step 2: Convert to fraction form
    1,121.55/1,682.10 = 427.74/x
  3. Step 3: Cross multiply
    1,121.55x = 1,682.10 × 427.74
  4. Step 4: Simplify right side
    1,121.55x = 719,501.45
  5. Step 5: Solve for x
    x = 719,501.45/1,121.55
  6. Step 6: Final answer
    x = 641.52

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.