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Finding the Fourth Proportional to 887.61, 1,225.09 and 588.88

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Solution

The fourth proportional to 887.61, 1,225.09 and 588.88 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.61 : 1,225.09 = 588.88 : x
  2. Step 2: Convert to fraction form
    887.61/1,225.09 = 588.88/x
  3. Step 3: Cross multiply
    887.61x = 1,225.09 × 588.88
  4. Step 4: Simplify right side
    887.61x = 721,427.20
  5. Step 5: Solve for x
    x = 721,427.20/887.61
  6. Step 6: Final answer
    x = 812.77

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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.