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Finding the Fourth Proportional to 1,057.10, 1,457.42 and 724.95

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Solution

The fourth proportional to 1,057.10, 1,457.42 and 724.95 is: 999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.10 : 1,457.42 = 724.95 : x
  2. Step 2: Convert to fraction form
    1,057.10/1,457.42 = 724.95/x
  3. Step 3: Cross multiply
    1,057.10x = 1,457.42 × 724.95
  4. Step 4: Simplify right side
    1,057.10x = 1,056,553.00
  5. Step 5: Solve for x
    x = 1,056,553.00/1,057.10
  6. Step 6: Final answer
    x = 999.49

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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.