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Finding the Fourth Proportional to 653.60, 980.56 and 461.60

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Solution

The fourth proportional to 653.60, 980.56 and 461.60 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 980.56 = 461.60 : x
  2. Step 2: Convert to fraction form
    653.60/980.56 = 461.60/x
  3. Step 3: Cross multiply
    653.60x = 980.56 × 461.60
  4. Step 4: Simplify right side
    653.60x = 452,626.50
  5. Step 5: Solve for x
    x = 452,626.50/653.60
  6. Step 6: Final answer
    x = 692.51

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1.5x scale

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.