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Finding the Fourth Proportional to 749.38, 1,123.40 and 359.14

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Solution

The fourth proportional to 749.38, 1,123.40 and 359.14 is: 538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.38 : 1,123.40 = 359.14 : x
  2. Step 2: Convert to fraction form
    749.38/1,123.40 = 359.14/x
  3. Step 3: Cross multiply
    749.38x = 1,123.40 × 359.14
  4. Step 4: Simplify right side
    749.38x = 403,457.88
  5. Step 5: Solve for x
    x = 403,457.88/749.38
  6. Step 6: Final answer
    x = 538.39

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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.