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Finding the Fourth Proportional to 1,437.35, 1,983.56 and 807.84

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Solution

The fourth proportional to 1,437.35, 1,983.56 and 807.84 is: 1,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.35 : 1,983.56 = 807.84 : x
  2. Step 2: Convert to fraction form
    1,437.35/1,983.56 = 807.84/x
  3. Step 3: Cross multiply
    1,437.35x = 1,983.56 × 807.84
  4. Step 4: Simplify right side
    1,437.35x = 1,602,391.55
  5. Step 5: Solve for x
    x = 1,602,391.55/1,437.35
  6. Step 6: Final answer
    x = 1,114.83

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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.