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Finding the Fourth Proportional to 1,437.17, 1,983.26 and 807.70

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Solution

The fourth proportional to 1,437.17, 1,983.26 and 807.70 is: 1,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.17 : 1,983.26 = 807.70 : x
  2. Step 2: Convert to fraction form
    1,437.17/1,983.26 = 807.70/x
  3. Step 3: Cross multiply
    1,437.17x = 1,983.26 × 807.70
  4. Step 4: Simplify right side
    1,437.17x = 1,601,879.10
  5. Step 5: Solve for x
    x = 1,601,879.10/1,437.17
  6. Step 6: Final answer
    x = 1,114.61

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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.