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Finding the Fourth Proportional to 1,253.65, 1,881.11 and 513.80

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Solution

The fourth proportional to 1,253.65, 1,881.11 and 513.80 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.65 : 1,881.11 = 513.80 : x
  2. Step 2: Convert to fraction form
    1,253.65/1,881.11 = 513.80/x
  3. Step 3: Cross multiply
    1,253.65x = 1,881.11 × 513.80
  4. Step 4: Simplify right side
    1,253.65x = 966,510.90
  5. Step 5: Solve for x
    x = 966,510.90/1,253.65
  6. Step 6: Final answer
    x = 770.96

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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.