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Finding the Fourth Proportional to 1,244.06, 1,865.68 and 464.02

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Solution

The fourth proportional to 1,244.06, 1,865.68 and 464.02 is: 695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.06 : 1,865.68 = 464.02 : x
  2. Step 2: Convert to fraction form
    1,244.06/1,865.68 = 464.02/x
  3. Step 3: Cross multiply
    1,244.06x = 1,865.68 × 464.02
  4. Step 4: Simplify right side
    1,244.06x = 865,712.83
  5. Step 5: Solve for x
    x = 865,712.83/1,244.06
  6. Step 6: Final answer
    x = 695.88

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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.