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Finding the Fourth Proportional to 653.52, 980.25 and 510.96

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Solution

The fourth proportional to 653.52, 980.25 and 510.96 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 980.25 = 510.96 : x
  2. Step 2: Convert to fraction form
    653.52/980.25 = 510.96/x
  3. Step 3: Cross multiply
    653.52x = 980.25 × 510.96
  4. Step 4: Simplify right side
    653.52x = 500,868.54
  5. Step 5: Solve for x
    x = 500,868.54/653.52
  6. Step 6: Final answer
    x = 766.42

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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.