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Finding the Fourth Proportional to 1,437.44, 1,983.12 and 847.76

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Solution

The fourth proportional to 1,437.44, 1,983.12 and 847.76 is: 1,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.44 : 1,983.12 = 847.76 : x
  2. Step 2: Convert to fraction form
    1,437.44/1,983.12 = 847.76/x
  3. Step 3: Cross multiply
    1,437.44x = 1,983.12 × 847.76
  4. Step 4: Simplify right side
    1,437.44x = 1,681,209.81
  5. Step 5: Solve for x
    x = 1,681,209.81/1,437.44
  6. Step 6: Final answer
    x = 1,169.59

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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.