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Finding the Fourth Proportional to 1,437.13, 1,982.76 and 807.55

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Solution

The fourth proportional to 1,437.13, 1,982.76 and 807.55 is: 1,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.13 : 1,982.76 = 807.55 : x
  2. Step 2: Convert to fraction form
    1,437.13/1,982.76 = 807.55/x
  3. Step 3: Cross multiply
    1,437.13x = 1,982.76 × 807.55
  4. Step 4: Simplify right side
    1,437.13x = 1,601,177.84
  5. Step 5: Solve for x
    x = 1,601,177.84/1,437.13
  6. Step 6: Final answer
    x = 1,114.15

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Why These Related Problems?

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