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Finding the Fourth Proportional to 1,054.42, 1,456.14 and 724.30

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Solution

The fourth proportional to 1,054.42, 1,456.14 and 724.30 is: 1,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.42 : 1,456.14 = 724.30 : x
  2. Step 2: Convert to fraction form
    1,054.42/1,456.14 = 724.30/x
  3. Step 3: Cross multiply
    1,054.42x = 1,456.14 × 724.30
  4. Step 4: Simplify right side
    1,054.42x = 1,054,682.20
  5. Step 5: Solve for x
    x = 1,054,682.20/1,054.42
  6. Step 6: Final answer
    x = 1,000.25

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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.