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Finding the Fourth Proportional to 837.53, 1,155.80 and 505.87

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Solution

The fourth proportional to 837.53, 1,155.80 and 505.87 is: 698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.53 : 1,155.80 = 505.87 : x
  2. Step 2: Convert to fraction form
    837.53/1,155.80 = 505.87/x
  3. Step 3: Cross multiply
    837.53x = 1,155.80 × 505.87
  4. Step 4: Simplify right side
    837.53x = 584,684.55
  5. Step 5: Solve for x
    x = 584,684.55/837.53
  6. Step 6: Final answer
    x = 698.11

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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.