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Finding the Fourth Proportional to 1,031.04, 1,546.56 and 859.68

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Solution

The fourth proportional to 1,031.04, 1,546.56 and 859.68 is: 1,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.04 : 1,546.56 = 859.68 : x
  2. Step 2: Convert to fraction form
    1,031.04/1,546.56 = 859.68/x
  3. Step 3: Cross multiply
    1,031.04x = 1,546.56 × 859.68
  4. Step 4: Simplify right side
    1,031.04x = 1,329,546.70
  5. Step 5: Solve for x
    x = 1,329,546.70/1,031.04
  6. Step 6: Final answer
    x = 1,289.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.