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Finding the Fourth Proportional to 877.76, 1,209.84 and 614.24

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Solution

The fourth proportional to 877.76, 1,209.84 and 614.24 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.76 : 1,209.84 = 614.24 : x
  2. Step 2: Convert to fraction form
    877.76/1,209.84 = 614.24/x
  3. Step 3: Cross multiply
    877.76x = 1,209.84 × 614.24
  4. Step 4: Simplify right side
    877.76x = 743,132.12
  5. Step 5: Solve for x
    x = 743,132.12/877.76
  6. Step 6: Final answer
    x = 846.62

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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.