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Finding the Fourth Proportional to 1,033.59, 1,549.32 and 448.97

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Solution

The fourth proportional to 1,033.59, 1,549.32 and 448.97 is: 672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.59 : 1,549.32 = 448.97 : x
  2. Step 2: Convert to fraction form
    1,033.59/1,549.32 = 448.97/x
  3. Step 3: Cross multiply
    1,033.59x = 1,549.32 × 448.97
  4. Step 4: Simplify right side
    1,033.59x = 695,598.20
  5. Step 5: Solve for x
    x = 695,598.20/1,033.59
  6. Step 6: Final answer
    x = 672.99

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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.