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Finding the Fourth Proportional to 1,006.82, 1,389.49 and 558.71

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Solution

The fourth proportional to 1,006.82, 1,389.49 and 558.71 is: 771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.82 : 1,389.49 = 558.71 : x
  2. Step 2: Convert to fraction form
    1,006.82/1,389.49 = 558.71/x
  3. Step 3: Cross multiply
    1,006.82x = 1,389.49 × 558.71
  4. Step 4: Simplify right side
    1,006.82x = 776,319.16
  5. Step 5: Solve for x
    x = 776,319.16/1,006.82
  6. Step 6: Final answer
    x = 771.06

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Why These Related Problems?

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