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Finding the Fourth Proportional to 815.76, 1,125 and 738

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Solution

The fourth proportional to 815.76, 1,125 and 738 is: 1,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,125 = 738 : x
  2. Step 2: Convert to fraction form
    815.76/1,125 = 738/x
  3. Step 3: Cross multiply
    815.76x = 1,125 × 738
  4. Step 4: Simplify right side
    815.76x = 830,250
  5. Step 5: Solve for x
    x = 830,250/815.76
  6. Step 6: Final answer
    x = 1,017.76

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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.