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Finding the Fourth Proportional to 691.83, 953.10 and 492.57

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Solution

The fourth proportional to 691.83, 953.10 and 492.57 is: 678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 953.10 = 492.57 : x
  2. Step 2: Convert to fraction form
    691.83/953.10 = 492.57/x
  3. Step 3: Cross multiply
    691.83x = 953.10 × 492.57
  4. Step 4: Simplify right side
    691.83x = 469,468.47
  5. Step 5: Solve for x
    x = 469,468.47/691.83
  6. Step 6: Final answer
    x = 678.59

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