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Finding the Fourth Proportional to 826.86, 1,240.40 and 437.05

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Solution

The fourth proportional to 826.86, 1,240.40 and 437.05 is: 655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,240.40 = 437.05 : x
  2. Step 2: Convert to fraction form
    826.86/1,240.40 = 437.05/x
  3. Step 3: Cross multiply
    826.86x = 1,240.40 × 437.05
  4. Step 4: Simplify right side
    826.86x = 542,116.82
  5. Step 5: Solve for x
    x = 542,116.82/826.86
  6. Step 6: Final answer
    x = 655.63

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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.