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Finding the Fourth Proportional to 1,037.79, 1,432.08 and 817.29

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Solution

The fourth proportional to 1,037.79, 1,432.08 and 817.29 is: 1,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.79 : 1,432.08 = 817.29 : x
  2. Step 2: Convert to fraction form
    1,037.79/1,432.08 = 817.29/x
  3. Step 3: Cross multiply
    1,037.79x = 1,432.08 × 817.29
  4. Step 4: Simplify right side
    1,037.79x = 1,170,424.66
  5. Step 5: Solve for x
    x = 1,170,424.66/1,037.79
  6. Step 6: Final answer
    x = 1,127.80

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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.