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Finding the Fourth Proportional to 1,055.44, 1,585.32 and 731.44

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Solution

The fourth proportional to 1,055.44, 1,585.32 and 731.44 is: 1,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.44 : 1,585.32 = 731.44 : x
  2. Step 2: Convert to fraction form
    1,055.44/1,585.32 = 731.44/x
  3. Step 3: Cross multiply
    1,055.44x = 1,585.32 × 731.44
  4. Step 4: Simplify right side
    1,055.44x = 1,159,566.46
  5. Step 5: Solve for x
    x = 1,159,566.46/1,055.44
  6. Step 6: Final answer
    x = 1,098.66

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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.