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Finding the Fourth Proportional to 1,022.47, 1,411.03 and 556.72

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Solution

The fourth proportional to 1,022.47, 1,411.03 and 556.72 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.47 : 1,411.03 = 556.72 : x
  2. Step 2: Convert to fraction form
    1,022.47/1,411.03 = 556.72/x
  3. Step 3: Cross multiply
    1,022.47x = 1,411.03 × 556.72
  4. Step 4: Simplify right side
    1,022.47x = 785,545.84
  5. Step 5: Solve for x
    x = 785,545.84/1,022.47
  6. Step 6: Final answer
    x = 768.28

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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.