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Finding the Fourth Proportional to 561.87, 837.95 and 514.62

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Solution

The fourth proportional to 561.87, 837.95 and 514.62 is: 767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 837.95 = 514.62 : x
  2. Step 2: Convert to fraction form
    561.87/837.95 = 514.62/x
  3. Step 3: Cross multiply
    561.87x = 837.95 × 514.62
  4. Step 4: Simplify right side
    561.87x = 431,223.26
  5. Step 5: Solve for x
    x = 431,223.26/561.87
  6. Step 6: Final answer
    x = 767.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.