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Finding the Fourth Proportional to 1,293.22, 1,937.23 and 598.92

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Solution

The fourth proportional to 1,293.22, 1,937.23 and 598.92 is: 897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.22 : 1,937.23 = 598.92 : x
  2. Step 2: Convert to fraction form
    1,293.22/1,937.23 = 598.92/x
  3. Step 3: Cross multiply
    1,293.22x = 1,937.23 × 598.92
  4. Step 4: Simplify right side
    1,293.22x = 1,160,245.79
  5. Step 5: Solve for x
    x = 1,160,245.79/1,293.22
  6. Step 6: Final answer
    x = 897.18

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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.