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Finding the Fourth Proportional to 1,432.77, 1,977.26 and 803.28

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Solution

The fourth proportional to 1,432.77, 1,977.26 and 803.28 is: 1,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.77 : 1,977.26 = 803.28 : x
  2. Step 2: Convert to fraction form
    1,432.77/1,977.26 = 803.28/x
  3. Step 3: Cross multiply
    1,432.77x = 1,977.26 × 803.28
  4. Step 4: Simplify right side
    1,432.77x = 1,588,293.41
  5. Step 5: Solve for x
    x = 1,588,293.41/1,432.77
  6. Step 6: Final answer
    x = 1,108.55

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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.