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Finding the Fourth Proportional to 837, 1,155.06 and 469

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Solution

The fourth proportional to 837, 1,155.06 and 469 is: 647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 1,155.06 = 469 : x
  2. Step 2: Convert to fraction form
    837/1,155.06 = 469/x
  3. Step 3: Cross multiply
    837x = 1,155.06 × 469
  4. Step 4: Simplify right side
    837x = 541,723.14
  5. Step 5: Solve for x
    x = 541,723.14/837
  6. Step 6: Final answer
    x = 647.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.