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Finding the Fourth Proportional to 1,432.90, 1,977.29 and 843.35

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Solution

The fourth proportional to 1,432.90, 1,977.29 and 843.35 is: 1,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.90 : 1,977.29 = 843.35 : x
  2. Step 2: Convert to fraction form
    1,432.90/1,977.29 = 843.35/x
  3. Step 3: Cross multiply
    1,432.90x = 1,977.29 × 843.35
  4. Step 4: Simplify right side
    1,432.90x = 1,667,547.52
  5. Step 5: Solve for x
    x = 1,667,547.52/1,432.90
  6. Step 6: Final answer
    x = 1,163.76

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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.