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Finding the Fourth Proportional to 648.20, 909.40 and 648.20

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Solution

The fourth proportional to 648.20, 909.40 and 648.20 is: 909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 909.40 = 648.20 : x
  2. Step 2: Convert to fraction form
    648.20/909.40 = 648.20/x
  3. Step 3: Cross multiply
    648.20x = 909.40 × 648.20
  4. Step 4: Simplify right side
    648.20x = 589,473.08
  5. Step 5: Solve for x
    x = 589,473.08/648.20
  6. Step 6: Final answer
    x = 909.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.