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Finding the Fourth Proportional to 1,079.86, 1,489.71 and 637.60

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Solution

The fourth proportional to 1,079.86, 1,489.71 and 637.60 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.86 : 1,489.71 = 637.60 : x
  2. Step 2: Convert to fraction form
    1,079.86/1,489.71 = 637.60/x
  3. Step 3: Cross multiply
    1,079.86x = 1,489.71 × 637.60
  4. Step 4: Simplify right side
    1,079.86x = 949,839.10
  5. Step 5: Solve for x
    x = 949,839.10/1,079.86
  6. Step 6: Final answer
    x = 879.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.