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Finding the Fourth Proportional to 916.58, 1,264.87 and 496.92

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Solution

The fourth proportional to 916.58, 1,264.87 and 496.92 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.58 : 1,264.87 = 496.92 : x
  2. Step 2: Convert to fraction form
    916.58/1,264.87 = 496.92/x
  3. Step 3: Cross multiply
    916.58x = 1,264.87 × 496.92
  4. Step 4: Simplify right side
    916.58x = 628,534.80
  5. Step 5: Solve for x
    x = 628,534.80/916.58
  6. Step 6: Final answer
    x = 685.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.