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Finding the Fourth Proportional to 1,437.20, 1,983.04 and 847.32

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Solution

The fourth proportional to 1,437.20, 1,983.04 and 847.32 is: 1,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.20 : 1,983.04 = 847.32 : x
  2. Step 2: Convert to fraction form
    1,437.20/1,983.04 = 847.32/x
  3. Step 3: Cross multiply
    1,437.20x = 1,983.04 × 847.32
  4. Step 4: Simplify right side
    1,437.20x = 1,680,269.45
  5. Step 5: Solve for x
    x = 1,680,269.45/1,437.20
  6. Step 6: Final answer
    x = 1,169.13

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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.