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Finding the Fourth Proportional to 565.88, 843.50 and 503.86

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Solution

The fourth proportional to 565.88, 843.50 and 503.86 is: 751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 843.50 = 503.86 : x
  2. Step 2: Convert to fraction form
    565.88/843.50 = 503.86/x
  3. Step 3: Cross multiply
    565.88x = 843.50 × 503.86
  4. Step 4: Simplify right side
    565.88x = 425,005.91
  5. Step 5: Solve for x
    x = 425,005.91/565.88
  6. Step 6: Final answer
    x = 751.05

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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.