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Finding the Fourth Proportional to 1,006.62, 1,389.14 and 558.48

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Solution

The fourth proportional to 1,006.62, 1,389.14 and 558.48 is: 770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.62 : 1,389.14 = 558.48 : x
  2. Step 2: Convert to fraction form
    1,006.62/1,389.14 = 558.48/x
  3. Step 3: Cross multiply
    1,006.62x = 1,389.14 × 558.48
  4. Step 4: Simplify right side
    1,006.62x = 775,806.91
  5. Step 5: Solve for x
    x = 775,806.91/1,006.62
  6. Step 6: Final answer
    x = 770.70

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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.