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Finding the Fourth Proportional to 1,337.95, 1,846.25 and 814.15

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Solution

The fourth proportional to 1,337.95, 1,846.25 and 814.15 is: 1,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.95 : 1,846.25 = 814.15 : x
  2. Step 2: Convert to fraction form
    1,337.95/1,846.25 = 814.15/x
  3. Step 3: Cross multiply
    1,337.95x = 1,846.25 × 814.15
  4. Step 4: Simplify right side
    1,337.95x = 1,503,118.80
  5. Step 5: Solve for x
    x = 1,503,118.80/1,337.95
  6. Step 6: Final answer
    x = 1,123.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.