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Finding the Fourth Proportional to 1,635.17, 2,452.88 and 465.15

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Solution

The fourth proportional to 1,635.17, 2,452.88 and 465.15 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.17 : 2,452.88 = 465.15 : x
  2. Step 2: Convert to fraction form
    1,635.17/2,452.88 = 465.15/x
  3. Step 3: Cross multiply
    1,635.17x = 2,452.88 × 465.15
  4. Step 4: Simplify right side
    1,635.17x = 1,140,957.13
  5. Step 5: Solve for x
    x = 1,140,957.13/1,635.17
  6. Step 6: Final answer
    x = 697.76

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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.