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Finding the Fourth Proportional to 1,310.32, 1,965.48 and 660.16

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Solution

The fourth proportional to 1,310.32, 1,965.48 and 660.16 is: 990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.32 : 1,965.48 = 660.16 : x
  2. Step 2: Convert to fraction form
    1,310.32/1,965.48 = 660.16/x
  3. Step 3: Cross multiply
    1,310.32x = 1,965.48 × 660.16
  4. Step 4: Simplify right side
    1,310.32x = 1,297,531.28
  5. Step 5: Solve for x
    x = 1,297,531.28/1,310.32
  6. Step 6: Final answer
    x = 990.24

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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.