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Finding the Fourth Proportional to 1,432.60, 1,977.02 and 843.02

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Solution

The fourth proportional to 1,432.60, 1,977.02 and 843.02 is: 1,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.60 : 1,977.02 = 843.02 : x
  2. Step 2: Convert to fraction form
    1,432.60/1,977.02 = 843.02/x
  3. Step 3: Cross multiply
    1,432.60x = 1,977.02 × 843.02
  4. Step 4: Simplify right side
    1,432.60x = 1,666,667.40
  5. Step 5: Solve for x
    x = 1,666,667.40/1,432.60
  6. Step 6: Final answer
    x = 1,163.39

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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.