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Finding the Fourth Proportional to 749.04, 1,123.56 and 505.80

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Solution

The fourth proportional to 749.04, 1,123.56 and 505.80 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.04 : 1,123.56 = 505.80 : x
  2. Step 2: Convert to fraction form
    749.04/1,123.56 = 505.80/x
  3. Step 3: Cross multiply
    749.04x = 1,123.56 × 505.80
  4. Step 4: Simplify right side
    749.04x = 568,296.65
  5. Step 5: Solve for x
    x = 568,296.65/749.04
  6. Step 6: Final answer
    x = 758.70

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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.