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Finding the Fourth Proportional to 1,054.14, 1,581.71 and 469.05

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Solution

The fourth proportional to 1,054.14, 1,581.71 and 469.05 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.14 : 1,581.71 = 469.05 : x
  2. Step 2: Convert to fraction form
    1,054.14/1,581.71 = 469.05/x
  3. Step 3: Cross multiply
    1,054.14x = 1,581.71 × 469.05
  4. Step 4: Simplify right side
    1,054.14x = 741,898.73
  5. Step 5: Solve for x
    x = 741,898.73/1,054.14
  6. Step 6: Final answer
    x = 703.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.