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Finding the Fourth Proportional to 1,040.60, 1,435.36 and 819.46

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Solution

The fourth proportional to 1,040.60, 1,435.36 and 819.46 is: 1,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.60 : 1,435.36 = 819.46 : x
  2. Step 2: Convert to fraction form
    1,040.60/1,435.36 = 819.46/x
  3. Step 3: Cross multiply
    1,040.60x = 1,435.36 × 819.46
  4. Step 4: Simplify right side
    1,040.60x = 1,176,220.11
  5. Step 5: Solve for x
    x = 1,176,220.11/1,040.60
  6. Step 6: Final answer
    x = 1,130.33

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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.