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Finding the Fourth Proportional to 1,049.76, 1,448.69 and 630.55

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Solution

The fourth proportional to 1,049.76, 1,448.69 and 630.55 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.76 : 1,448.69 = 630.55 : x
  2. Step 2: Convert to fraction form
    1,049.76/1,448.69 = 630.55/x
  3. Step 3: Cross multiply
    1,049.76x = 1,448.69 × 630.55
  4. Step 4: Simplify right side
    1,049.76x = 913,470.14
  5. Step 5: Solve for x
    x = 913,470.14/1,049.76
  6. Step 6: Final answer
    x = 870.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.