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Finding the Fourth Proportional to 1,055.98, 1,457.87 and 724.89

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Solution

The fourth proportional to 1,055.98, 1,457.87 and 724.89 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.98 : 1,457.87 = 724.89 : x
  2. Step 2: Convert to fraction form
    1,055.98/1,457.87 = 724.89/x
  3. Step 3: Cross multiply
    1,055.98x = 1,457.87 × 724.89
  4. Step 4: Simplify right side
    1,055.98x = 1,056,797.20
  5. Step 5: Solve for x
    x = 1,056,797.20/1,055.98
  6. Step 6: Final answer
    x = 1,000.78

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Why These Related Problems?

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