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Finding the Fourth Proportional to 877.14, 1,209.76 and 562.43

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Solution

The fourth proportional to 877.14, 1,209.76 and 562.43 is: 775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.14 : 1,209.76 = 562.43 : x
  2. Step 2: Convert to fraction form
    877.14/1,209.76 = 562.43/x
  3. Step 3: Cross multiply
    877.14x = 1,209.76 × 562.43
  4. Step 4: Simplify right side
    877.14x = 680,405.32
  5. Step 5: Solve for x
    x = 680,405.32/877.14
  6. Step 6: Final answer
    x = 775.71

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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.