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Finding the Fourth Proportional to 837.88, 1,155.86 and 527.16

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Solution

The fourth proportional to 837.88, 1,155.86 and 527.16 is: 727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.88 : 1,155.86 = 527.16 : x
  2. Step 2: Convert to fraction form
    837.88/1,155.86 = 527.16/x
  3. Step 3: Cross multiply
    837.88x = 1,155.86 × 527.16
  4. Step 4: Simplify right side
    837.88x = 609,323.16
  5. Step 5: Solve for x
    x = 609,323.16/837.88
  6. Step 6: Final answer
    x = 727.22

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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.