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Finding the Fourth Proportional to 887.62, 1,225.16 and 592.78

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Solution

The fourth proportional to 887.62, 1,225.16 and 592.78 is: 818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.62 : 1,225.16 = 592.78 : x
  2. Step 2: Convert to fraction form
    887.62/1,225.16 = 592.78/x
  3. Step 3: Cross multiply
    887.62x = 1,225.16 × 592.78
  4. Step 4: Simplify right side
    887.62x = 726,250.34
  5. Step 5: Solve for x
    x = 726,250.34/887.62
  6. Step 6: Final answer
    x = 818.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.