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Finding the Fourth Proportional to 1,437.16, 1,982.52 and 847.48

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Solution

The fourth proportional to 1,437.16, 1,982.52 and 847.48 is: 1,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.16 : 1,982.52 = 847.48 : x
  2. Step 2: Convert to fraction form
    1,437.16/1,982.52 = 847.48/x
  3. Step 3: Cross multiply
    1,437.16x = 1,982.52 × 847.48
  4. Step 4: Simplify right side
    1,437.16x = 1,680,146.05
  5. Step 5: Solve for x
    x = 1,680,146.05/1,437.16
  6. Step 6: Final answer
    x = 1,169.07

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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.