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Finding the Fourth Proportional to 1,031.76, 1,424.25 and 769.32

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Solution

The fourth proportional to 1,031.76, 1,424.25 and 769.32 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.76 : 1,424.25 = 769.32 : x
  2. Step 2: Convert to fraction form
    1,031.76/1,424.25 = 769.32/x
  3. Step 3: Cross multiply
    1,031.76x = 1,424.25 × 769.32
  4. Step 4: Simplify right side
    1,031.76x = 1,095,704.01
  5. Step 5: Solve for x
    x = 1,095,704.01/1,031.76
  6. Step 6: Final answer
    x = 1,061.98

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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.