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Finding the Fourth Proportional to 1,074.18, 1,472.72 and 1,054.74

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Solution

The fourth proportional to 1,074.18, 1,472.72 and 1,054.74 is: 1,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.18 : 1,472.72 = 1,054.74 : x
  2. Step 2: Convert to fraction form
    1,074.18/1,472.72 = 1,054.74/x
  3. Step 3: Cross multiply
    1,074.18x = 1,472.72 × 1,054.74
  4. Step 4: Simplify right side
    1,074.18x = 1,553,331.42
  5. Step 5: Solve for x
    x = 1,553,331.42/1,074.18
  6. Step 6: Final answer
    x = 1,446.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.