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Finding the Fourth Proportional to 565.12, 843.35 and 503.61

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Solution

The fourth proportional to 565.12, 843.35 and 503.61 is: 751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 843.35 = 503.61 : x
  2. Step 2: Convert to fraction form
    565.12/843.35 = 503.61/x
  3. Step 3: Cross multiply
    565.12x = 843.35 × 503.61
  4. Step 4: Simplify right side
    565.12x = 424,719.49
  5. Step 5: Solve for x
    x = 424,719.49/565.12
  6. Step 6: Final answer
    x = 751.56

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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.