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Finding the Fourth Proportional to 960.22, 1,440.04 and 473.62

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Solution

The fourth proportional to 960.22, 1,440.04 and 473.62 is: 710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,440.04 = 473.62 : x
  2. Step 2: Convert to fraction form
    960.22/1,440.04 = 473.62/x
  3. Step 3: Cross multiply
    960.22x = 1,440.04 × 473.62
  4. Step 4: Simplify right side
    960.22x = 682,031.74
  5. Step 5: Solve for x
    x = 682,031.74/960.22
  6. Step 6: Final answer
    x = 710.29

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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.