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Finding the Fourth Proportional to 1,123.90, 1,551.24 and 730.24

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Solution

The fourth proportional to 1,123.90, 1,551.24 and 730.24 is: 1,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.90 : 1,551.24 = 730.24 : x
  2. Step 2: Convert to fraction form
    1,123.90/1,551.24 = 730.24/x
  3. Step 3: Cross multiply
    1,123.90x = 1,551.24 × 730.24
  4. Step 4: Simplify right side
    1,123.90x = 1,132,773.62
  5. Step 5: Solve for x
    x = 1,132,773.62/1,123.90
  6. Step 6: Final answer
    x = 1,007.90

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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.