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Finding the Fourth Proportional to 1,291.10, 1,937.67 and 469.61

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Solution

The fourth proportional to 1,291.10, 1,937.67 and 469.61 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.10 : 1,937.67 = 469.61 : x
  2. Step 2: Convert to fraction form
    1,291.10/1,937.67 = 469.61/x
  3. Step 3: Cross multiply
    1,291.10x = 1,937.67 × 469.61
  4. Step 4: Simplify right side
    1,291.10x = 909,939.52
  5. Step 5: Solve for x
    x = 909,939.52/1,291.10
  6. Step 6: Final answer
    x = 704.78

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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.