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Finding the Fourth Proportional to 1,148.30, 1,723.13 and 455.04

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Solution

The fourth proportional to 1,148.30, 1,723.13 and 455.04 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.30 : 1,723.13 = 455.04 : x
  2. Step 2: Convert to fraction form
    1,148.30/1,723.13 = 455.04/x
  3. Step 3: Cross multiply
    1,148.30x = 1,723.13 × 455.04
  4. Step 4: Simplify right side
    1,148.30x = 784,082.18
  5. Step 5: Solve for x
    x = 784,082.18/1,148.30
  6. Step 6: Final answer
    x = 682.82

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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.