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Finding the Fourth Proportional to 750.39, 1,123.53 and 567.24

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Solution

The fourth proportional to 750.39, 1,123.53 and 567.24 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.39 : 1,123.53 = 567.24 : x
  2. Step 2: Convert to fraction form
    750.39/1,123.53 = 567.24/x
  3. Step 3: Cross multiply
    750.39x = 1,123.53 × 567.24
  4. Step 4: Simplify right side
    750.39x = 637,311.16
  5. Step 5: Solve for x
    x = 637,311.16/750.39
  6. Step 6: Final answer
    x = 849.31

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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.