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Finding the Fourth Proportional to 1,182.63, 1,773.61 and 452.15

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Solution

The fourth proportional to 1,182.63, 1,773.61 and 452.15 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.63 : 1,773.61 = 452.15 : x
  2. Step 2: Convert to fraction form
    1,182.63/1,773.61 = 452.15/x
  3. Step 3: Cross multiply
    1,182.63x = 1,773.61 × 452.15
  4. Step 4: Simplify right side
    1,182.63x = 801,937.76
  5. Step 5: Solve for x
    x = 801,937.76/1,182.63
  6. Step 6: Final answer
    x = 678.10

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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.