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Finding the Fourth Proportional to 924.27, 1,385.84 and 455.15

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Solution

The fourth proportional to 924.27, 1,385.84 and 455.15 is: 682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.27 : 1,385.84 = 455.15 : x
  2. Step 2: Convert to fraction form
    924.27/1,385.84 = 455.15/x
  3. Step 3: Cross multiply
    924.27x = 1,385.84 × 455.15
  4. Step 4: Simplify right side
    924.27x = 630,765.08
  5. Step 5: Solve for x
    x = 630,765.08/924.27
  6. Step 6: Final answer
    x = 682.45

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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.