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Finding the Fourth Proportional to 877.52, 1,209.95 and 597.92

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Solution

The fourth proportional to 877.52, 1,209.95 and 597.92 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,209.95 = 597.92 : x
  2. Step 2: Convert to fraction form
    877.52/1,209.95 = 597.92/x
  3. Step 3: Cross multiply
    877.52x = 1,209.95 × 597.92
  4. Step 4: Simplify right side
    877.52x = 723,453.30
  5. Step 5: Solve for x
    x = 723,453.30/877.52
  6. Step 6: Final answer
    x = 824.43

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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.