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Finding the Fourth Proportional to 926.44, 1,387.58 and 514.65

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Solution

The fourth proportional to 926.44, 1,387.58 and 514.65 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.44 : 1,387.58 = 514.65 : x
  2. Step 2: Convert to fraction form
    926.44/1,387.58 = 514.65/x
  3. Step 3: Cross multiply
    926.44x = 1,387.58 × 514.65
  4. Step 4: Simplify right side
    926.44x = 714,123.57
  5. Step 5: Solve for x
    x = 714,123.57/926.44
  6. Step 6: Final answer
    x = 770.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.