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Finding the Fourth Proportional to 886.49, 1,329.73 and 424.16

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Solution

The fourth proportional to 886.49, 1,329.73 and 424.16 is: 636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.49 : 1,329.73 = 424.16 : x
  2. Step 2: Convert to fraction form
    886.49/1,329.73 = 424.16/x
  3. Step 3: Cross multiply
    886.49x = 1,329.73 × 424.16
  4. Step 4: Simplify right side
    886.49x = 564,018.28
  5. Step 5: Solve for x
    x = 564,018.28/886.49
  6. Step 6: Final answer
    x = 636.24

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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.