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Finding the Fourth Proportional to 1,031.26, 1,546.89 and 598.72

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Solution

The fourth proportional to 1,031.26, 1,546.89 and 598.72 is: 898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.26 : 1,546.89 = 598.72 : x
  2. Step 2: Convert to fraction form
    1,031.26/1,546.89 = 598.72/x
  3. Step 3: Cross multiply
    1,031.26x = 1,546.89 × 598.72
  4. Step 4: Simplify right side
    1,031.26x = 926,153.98
  5. Step 5: Solve for x
    x = 926,153.98/1,031.26
  6. Step 6: Final answer
    x = 898.08

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