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Finding the Fourth Proportional to 886.17, 1,329.39 and 597

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Solution

The fourth proportional to 886.17, 1,329.39 and 597 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.17 : 1,329.39 = 597 : x
  2. Step 2: Convert to fraction form
    886.17/1,329.39 = 597/x
  3. Step 3: Cross multiply
    886.17x = 1,329.39 × 597
  4. Step 4: Simplify right side
    886.17x = 793,645.83
  5. Step 5: Solve for x
    x = 793,645.83/886.17
  6. Step 6: Final answer
    x = 895.59

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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.