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Finding the Fourth Proportional to 1,294.58, 1,938.53 and 807.98

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Solution

The fourth proportional to 1,294.58, 1,938.53 and 807.98 is: 1,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.58 : 1,938.53 = 807.98 : x
  2. Step 2: Convert to fraction form
    1,294.58/1,938.53 = 807.98/x
  3. Step 3: Cross multiply
    1,294.58x = 1,938.53 × 807.98
  4. Step 4: Simplify right side
    1,294.58x = 1,566,285.80
  5. Step 5: Solve for x
    x = 1,566,285.80/1,294.58
  6. Step 6: Final answer
    x = 1,209.88

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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.