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Finding the Fourth Proportional to 650, 897.24 and 601.52

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Solution

The fourth proportional to 650, 897.24 and 601.52 is: 830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 897.24 = 601.52 : x
  2. Step 2: Convert to fraction form
    650/897.24 = 601.52/x
  3. Step 3: Cross multiply
    650x = 897.24 × 601.52
  4. Step 4: Simplify right side
    650x = 539,707.80
  5. Step 5: Solve for x
    x = 539,707.80/650
  6. Step 6: Final answer
    x = 830.32

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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.