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Finding the Fourth Proportional to 1,291.38, 1,944.62 and 928.68

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Solution

The fourth proportional to 1,291.38, 1,944.62 and 928.68 is: 1,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.38 : 1,944.62 = 928.68 : x
  2. Step 2: Convert to fraction form
    1,291.38/1,944.62 = 928.68/x
  3. Step 3: Cross multiply
    1,291.38x = 1,944.62 × 928.68
  4. Step 4: Simplify right side
    1,291.38x = 1,805,929.70
  5. Step 5: Solve for x
    x = 1,805,929.70/1,291.38
  6. Step 6: Final answer
    x = 1,398.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.