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Finding the Fourth Proportional to 1,148.97, 1,723.50 and 456.02

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Solution

The fourth proportional to 1,148.97, 1,723.50 and 456.02 is: 684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.97 : 1,723.50 = 456.02 : x
  2. Step 2: Convert to fraction form
    1,148.97/1,723.50 = 456.02/x
  3. Step 3: Cross multiply
    1,148.97x = 1,723.50 × 456.02
  4. Step 4: Simplify right side
    1,148.97x = 785,941.85
  5. Step 5: Solve for x
    x = 785,941.85/1,148.97
  6. Step 6: Final answer
    x = 684.04

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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.