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Finding the Fourth Proportional to 687.48, 1,031.67 and 641.93

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Solution

The fourth proportional to 687.48, 1,031.67 and 641.93 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.48 : 1,031.67 = 641.93 : x
  2. Step 2: Convert to fraction form
    687.48/1,031.67 = 641.93/x
  3. Step 3: Cross multiply
    687.48x = 1,031.67 × 641.93
  4. Step 4: Simplify right side
    687.48x = 662,254.76
  5. Step 5: Solve for x
    x = 662,254.76/687.48
  6. Step 6: Final answer
    x = 963.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.