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Finding the Fourth Proportional to 1,432.85, 1,977.42 and 803.58

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Solution

The fourth proportional to 1,432.85, 1,977.42 and 803.58 is: 1,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.85 : 1,977.42 = 803.58 : x
  2. Step 2: Convert to fraction form
    1,432.85/1,977.42 = 803.58/x
  3. Step 3: Cross multiply
    1,432.85x = 1,977.42 × 803.58
  4. Step 4: Simplify right side
    1,432.85x = 1,589,011.15
  5. Step 5: Solve for x
    x = 1,589,011.15/1,432.85
  6. Step 6: Final answer
    x = 1,108.99

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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.