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Finding the Fourth Proportional to 670.48, 1,001.18 and 531.97

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Solution

The fourth proportional to 670.48, 1,001.18 and 531.97 is: 794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.48 : 1,001.18 = 531.97 : x
  2. Step 2: Convert to fraction form
    670.48/1,001.18 = 531.97/x
  3. Step 3: Cross multiply
    670.48x = 1,001.18 × 531.97
  4. Step 4: Simplify right side
    670.48x = 532,597.72
  5. Step 5: Solve for x
    x = 532,597.72/670.48
  6. Step 6: Final answer
    x = 794.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.