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Finding the Fourth Proportional to 653.52, 982.04 and 612

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Solution

The fourth proportional to 653.52, 982.04 and 612 is: 919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 982.04 = 612 : x
  2. Step 2: Convert to fraction form
    653.52/982.04 = 612/x
  3. Step 3: Cross multiply
    653.52x = 982.04 × 612
  4. Step 4: Simplify right side
    653.52x = 601,008.48
  5. Step 5: Solve for x
    x = 601,008.48/653.52
  6. Step 6: Final answer
    x = 919.65

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