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Finding the Fourth Proportional to 1,119.47, 1,680.03 and 564.71

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Solution

The fourth proportional to 1,119.47, 1,680.03 and 564.71 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.47 : 1,680.03 = 564.71 : x
  2. Step 2: Convert to fraction form
    1,119.47/1,680.03 = 564.71/x
  3. Step 3: Cross multiply
    1,119.47x = 1,680.03 × 564.71
  4. Step 4: Simplify right side
    1,119.47x = 948,721.34
  5. Step 5: Solve for x
    x = 948,721.34/1,119.47
  6. Step 6: Final answer
    x = 847.48

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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.