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Finding the Fourth Proportional to 1,031.76, 1,541.22 and 876.96

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Solution

The fourth proportional to 1,031.76, 1,541.22 and 876.96 is: 1,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.76 : 1,541.22 = 876.96 : x
  2. Step 2: Convert to fraction form
    1,031.76/1,541.22 = 876.96/x
  3. Step 3: Cross multiply
    1,031.76x = 1,541.22 × 876.96
  4. Step 4: Simplify right side
    1,031.76x = 1,351,588.29
  5. Step 5: Solve for x
    x = 1,351,588.29/1,031.76
  6. Step 6: Final answer
    x = 1,309.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.