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Finding the Fourth Proportional to 837.50, 1,155.76 and 506.22

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Solution

The fourth proportional to 837.50, 1,155.76 and 506.22 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.50 : 1,155.76 = 506.22 : x
  2. Step 2: Convert to fraction form
    837.50/1,155.76 = 506.22/x
  3. Step 3: Cross multiply
    837.50x = 1,155.76 × 506.22
  4. Step 4: Simplify right side
    837.50x = 585,068.83
  5. Step 5: Solve for x
    x = 585,068.83/837.50
  6. Step 6: Final answer
    x = 698.59

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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.