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Finding the Fourth Proportional to 663.09, 913.21 and 648.74

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Solution

The fourth proportional to 663.09, 913.21 and 648.74 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.09 : 913.21 = 648.74 : x
  2. Step 2: Convert to fraction form
    663.09/913.21 = 648.74/x
  3. Step 3: Cross multiply
    663.09x = 913.21 × 648.74
  4. Step 4: Simplify right side
    663.09x = 592,432.61
  5. Step 5: Solve for x
    x = 592,432.61/663.09
  6. Step 6: Final answer
    x = 893.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.