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Finding the Fourth Proportional to 1,432.90, 1,977.56 and 803.46

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Solution

The fourth proportional to 1,432.90, 1,977.56 and 803.46 is: 1,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.90 : 1,977.56 = 803.46 : x
  2. Step 2: Convert to fraction form
    1,432.90/1,977.56 = 803.46/x
  3. Step 3: Cross multiply
    1,432.90x = 1,977.56 × 803.46
  4. Step 4: Simplify right side
    1,432.90x = 1,588,890.36
  5. Step 5: Solve for x
    x = 1,588,890.36/1,432.90
  6. Step 6: Final answer
    x = 1,108.86

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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.