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Finding the Fourth Proportional to 837.76, 1,156.35 and 506.13

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Solution

The fourth proportional to 837.76, 1,156.35 and 506.13 is: 698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.76 : 1,156.35 = 506.13 : x
  2. Step 2: Convert to fraction form
    837.76/1,156.35 = 506.13/x
  3. Step 3: Cross multiply
    837.76x = 1,156.35 × 506.13
  4. Step 4: Simplify right side
    837.76x = 585,263.43
  5. Step 5: Solve for x
    x = 585,263.43/837.76
  6. Step 6: Final answer
    x = 698.61

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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.