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Finding the Fourth Proportional to 929.28, 1,281.74 and 789.18

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Solution

The fourth proportional to 929.28, 1,281.74 and 789.18 is: 1,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.28 : 1,281.74 = 789.18 : x
  2. Step 2: Convert to fraction form
    929.28/1,281.74 = 789.18/x
  3. Step 3: Cross multiply
    929.28x = 1,281.74 × 789.18
  4. Step 4: Simplify right side
    929.28x = 1,011,514.82
  5. Step 5: Solve for x
    x = 1,011,514.82/929.28
  6. Step 6: Final answer
    x = 1,088.49

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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.