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Finding the Fourth Proportional to 651.96, 973.17 and 565.90

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Solution

The fourth proportional to 651.96, 973.17 and 565.90 is: 844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.96 : 973.17 = 565.90 : x
  2. Step 2: Convert to fraction form
    651.96/973.17 = 565.90/x
  3. Step 3: Cross multiply
    651.96x = 973.17 × 565.90
  4. Step 4: Simplify right side
    651.96x = 550,714.47
  5. Step 5: Solve for x
    x = 550,714.47/651.96
  6. Step 6: Final answer
    x = 844.71

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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.