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Finding the Fourth Proportional to 883.61, 1,324.65 and 591.10

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Solution

The fourth proportional to 883.61, 1,324.65 and 591.10 is: 886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.61 : 1,324.65 = 591.10 : x
  2. Step 2: Convert to fraction form
    883.61/1,324.65 = 591.10/x
  3. Step 3: Cross multiply
    883.61x = 1,324.65 × 591.10
  4. Step 4: Simplify right side
    883.61x = 782,999.52
  5. Step 5: Solve for x
    x = 782,999.52/883.61
  6. Step 6: Final answer
    x = 886.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.