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Finding the Fourth Proportional to 971.95, 1,458.25 and 424.49

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Solution

The fourth proportional to 971.95, 1,458.25 and 424.49 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.95 : 1,458.25 = 424.49 : x
  2. Step 2: Convert to fraction form
    971.95/1,458.25 = 424.49/x
  3. Step 3: Cross multiply
    971.95x = 1,458.25 × 424.49
  4. Step 4: Simplify right side
    971.95x = 619,014.78
  5. Step 5: Solve for x
    x = 619,014.78/971.95
  6. Step 6: Final answer
    x = 636.88

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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.