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Finding the Fourth Proportional to 1,439.97, 2,158.33 and 710.05

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Solution

The fourth proportional to 1,439.97, 2,158.33 and 710.05 is: 1,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.97 : 2,158.33 = 710.05 : x
  2. Step 2: Convert to fraction form
    1,439.97/2,158.33 = 710.05/x
  3. Step 3: Cross multiply
    1,439.97x = 2,158.33 × 710.05
  4. Step 4: Simplify right side
    1,439.97x = 1,532,522.22
  5. Step 5: Solve for x
    x = 1,532,522.22/1,439.97
  6. Step 6: Final answer
    x = 1,064.27

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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.