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Finding the Fourth Proportional to 1,006.52, 1,389.72 and 675.68

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Solution

The fourth proportional to 1,006.52, 1,389.72 and 675.68 is: 932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.52 : 1,389.72 = 675.68 : x
  2. Step 2: Convert to fraction form
    1,006.52/1,389.72 = 675.68/x
  3. Step 3: Cross multiply
    1,006.52x = 1,389.72 × 675.68
  4. Step 4: Simplify right side
    1,006.52x = 939,006.01
  5. Step 5: Solve for x
    x = 939,006.01/1,006.52
  6. Step 6: Final answer
    x = 932.92

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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.