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Finding the Fourth Proportional to 749.48, 1,123.42 and 359.24

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Solution

The fourth proportional to 749.48, 1,123.42 and 359.24 is: 538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.48 : 1,123.42 = 359.24 : x
  2. Step 2: Convert to fraction form
    749.48/1,123.42 = 359.24/x
  3. Step 3: Cross multiply
    749.48x = 1,123.42 × 359.24
  4. Step 4: Simplify right side
    749.48x = 403,577.40
  5. Step 5: Solve for x
    x = 403,577.40/749.48
  6. Step 6: Final answer
    x = 538.48

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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.