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Finding the Fourth Proportional to 653.40, 980.10 and 501.12

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Solution

The fourth proportional to 653.40, 980.10 and 501.12 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 980.10 = 501.12 : x
  2. Step 2: Convert to fraction form
    653.40/980.10 = 501.12/x
  3. Step 3: Cross multiply
    653.40x = 980.10 × 501.12
  4. Step 4: Simplify right side
    653.40x = 491,147.71
  5. Step 5: Solve for x
    x = 491,147.71/653.40
  6. Step 6: Final answer
    x = 751.68

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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.