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Finding the Fourth Proportional to 916.68, 1,265.00 and 497.02

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Solution

The fourth proportional to 916.68, 1,265.00 and 497.02 is: 685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.68 : 1,265.00 = 497.02 : x
  2. Step 2: Convert to fraction form
    916.68/1,265.00 = 497.02/x
  3. Step 3: Cross multiply
    916.68x = 1,265.00 × 497.02
  4. Step 4: Simplify right side
    916.68x = 628,728.53
  5. Step 5: Solve for x
    x = 628,728.53/916.68
  6. Step 6: Final answer
    x = 685.88

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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.