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Finding the Fourth Proportional to 1,055.43, 1,457.11 and 724.34

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Solution

The fourth proportional to 1,055.43, 1,457.11 and 724.34 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.43 : 1,457.11 = 724.34 : x
  2. Step 2: Convert to fraction form
    1,055.43/1,457.11 = 724.34/x
  3. Step 3: Cross multiply
    1,055.43x = 1,457.11 × 724.34
  4. Step 4: Simplify right side
    1,055.43x = 1,055,447.61
  5. Step 5: Solve for x
    x = 1,055,447.61/1,055.43
  6. Step 6: Final answer
    x = 1,000.02

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1.5x scale

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.