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Finding the Fourth Proportional to 1,115.32, 1,538.62 and 722.46

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Solution

The fourth proportional to 1,115.32, 1,538.62 and 722.46 is: 996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.32 : 1,538.62 = 722.46 : x
  2. Step 2: Convert to fraction form
    1,115.32/1,538.62 = 722.46/x
  3. Step 3: Cross multiply
    1,115.32x = 1,538.62 × 722.46
  4. Step 4: Simplify right side
    1,115.32x = 1,111,591.41
  5. Step 5: Solve for x
    x = 1,111,591.41/1,115.32
  6. Step 6: Final answer
    x = 996.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.