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Finding the Fourth Proportional to 924.53, 1,383.29 and 514.00

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Solution

The fourth proportional to 924.53, 1,383.29 and 514.00 is: 769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.53 : 1,383.29 = 514.00 : x
  2. Step 2: Convert to fraction form
    924.53/1,383.29 = 514.00/x
  3. Step 3: Cross multiply
    924.53x = 1,383.29 × 514.00
  4. Step 4: Simplify right side
    924.53x = 711,001.57
  5. Step 5: Solve for x
    x = 711,001.57/924.53
  6. Step 6: Final answer
    x = 769.04

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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.