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Finding the Fourth Proportional to 637.74, 955.35 and 562.80

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Solution

The fourth proportional to 637.74, 955.35 and 562.80 is: 843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.74 : 955.35 = 562.80 : x
  2. Step 2: Convert to fraction form
    637.74/955.35 = 562.80/x
  3. Step 3: Cross multiply
    637.74x = 955.35 × 562.80
  4. Step 4: Simplify right side
    637.74x = 537,670.98
  5. Step 5: Solve for x
    x = 537,670.98/637.74
  6. Step 6: Final answer
    x = 843.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.