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Finding the Fourth Proportional to 691.98, 954.60 and 505.16

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Solution

The fourth proportional to 691.98, 954.60 and 505.16 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.98 : 954.60 = 505.16 : x
  2. Step 2: Convert to fraction form
    691.98/954.60 = 505.16/x
  3. Step 3: Cross multiply
    691.98x = 954.60 × 505.16
  4. Step 4: Simplify right side
    691.98x = 482,225.74
  5. Step 5: Solve for x
    x = 482,225.74/691.98
  6. Step 6: Final answer
    x = 696.88

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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.