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Finding the Fourth Proportional to 837.80, 1,155.73 and 506.10

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Solution

The fourth proportional to 837.80, 1,155.73 and 506.10 is: 698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,155.73 = 506.10 : x
  2. Step 2: Convert to fraction form
    837.80/1,155.73 = 506.10/x
  3. Step 3: Cross multiply
    837.80x = 1,155.73 × 506.10
  4. Step 4: Simplify right side
    837.80x = 584,914.95
  5. Step 5: Solve for x
    x = 584,914.95/837.80
  6. Step 6: Final answer
    x = 698.16

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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.