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Finding the Fourth Proportional to 1,031.23, 1,546.64 and 597.88

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Solution

The fourth proportional to 1,031.23, 1,546.64 and 597.88 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.23 : 1,546.64 = 597.88 : x
  2. Step 2: Convert to fraction form
    1,031.23/1,546.64 = 597.88/x
  3. Step 3: Cross multiply
    1,031.23x = 1,546.64 × 597.88
  4. Step 4: Simplify right side
    1,031.23x = 924,694.40
  5. Step 5: Solve for x
    x = 924,694.40/1,031.23
  6. Step 6: Final answer
    x = 896.70

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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.