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Finding the Fourth Proportional to 960.15, 1,440.51 and 473.55

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Solution

The fourth proportional to 960.15, 1,440.51 and 473.55 is: 710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.15 : 1,440.51 = 473.55 : x
  2. Step 2: Convert to fraction form
    960.15/1,440.51 = 473.55/x
  3. Step 3: Cross multiply
    960.15x = 1,440.51 × 473.55
  4. Step 4: Simplify right side
    960.15x = 682,153.51
  5. Step 5: Solve for x
    x = 682,153.51/960.15
  6. Step 6: Final answer
    x = 710.47

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Double scale
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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.