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Finding the Fourth Proportional to 591.64, 886.08 and 525.68

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Solution

The fourth proportional to 591.64, 886.08 and 525.68 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.64 : 886.08 = 525.68 : x
  2. Step 2: Convert to fraction form
    591.64/886.08 = 525.68/x
  3. Step 3: Cross multiply
    591.64x = 886.08 × 525.68
  4. Step 4: Simplify right side
    591.64x = 465,790.10
  5. Step 5: Solve for x
    x = 465,790.10/591.64
  6. Step 6: Final answer
    x = 787.29

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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.