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Finding the Fourth Proportional to 1,292.43, 1,937.10 and 598.15

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Solution

The fourth proportional to 1,292.43, 1,937.10 and 598.15 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.43 : 1,937.10 = 598.15 : x
  2. Step 2: Convert to fraction form
    1,292.43/1,937.10 = 598.15/x
  3. Step 3: Cross multiply
    1,292.43x = 1,937.10 × 598.15
  4. Step 4: Simplify right side
    1,292.43x = 1,158,676.37
  5. Step 5: Solve for x
    x = 1,158,676.37/1,292.43
  6. Step 6: Final answer
    x = 896.51

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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.