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Finding the Fourth Proportional to 971.90, 1,458.19 and 424.12

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Solution

The fourth proportional to 971.90, 1,458.19 and 424.12 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.90 : 1,458.19 = 424.12 : x
  2. Step 2: Convert to fraction form
    971.90/1,458.19 = 424.12/x
  3. Step 3: Cross multiply
    971.90x = 1,458.19 × 424.12
  4. Step 4: Simplify right side
    971.90x = 618,444.78
  5. Step 5: Solve for x
    x = 618,444.78/971.90
  6. Step 6: Final answer
    x = 636.33

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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.