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Finding the Fourth Proportional to 1,291.44, 1,937.69 and 597.68

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Solution

The fourth proportional to 1,291.44, 1,937.69 and 597.68 is: 896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.44 : 1,937.69 = 597.68 : x
  2. Step 2: Convert to fraction form
    1,291.44/1,937.69 = 597.68/x
  3. Step 3: Cross multiply
    1,291.44x = 1,937.69 × 597.68
  4. Step 4: Simplify right side
    1,291.44x = 1,158,115.39
  5. Step 5: Solve for x
    x = 1,158,115.39/1,291.44
  6. Step 6: Final answer
    x = 896.76

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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.