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Finding the Fourth Proportional to 1,055.88, 1,583.82 and 439.20

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Solution

The fourth proportional to 1,055.88, 1,583.82 and 439.20 is: 658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.88 : 1,583.82 = 439.20 : x
  2. Step 2: Convert to fraction form
    1,055.88/1,583.82 = 439.20/x
  3. Step 3: Cross multiply
    1,055.88x = 1,583.82 × 439.20
  4. Step 4: Simplify right side
    1,055.88x = 695,613.74
  5. Step 5: Solve for x
    x = 695,613.74/1,055.88
  6. Step 6: Final answer
    x = 658.80

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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.