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Finding the Fourth Proportional to 935.69, 1,290.20 and 599.15

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Solution

The fourth proportional to 935.69, 1,290.20 and 599.15 is: 826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.69 : 1,290.20 = 599.15 : x
  2. Step 2: Convert to fraction form
    935.69/1,290.20 = 599.15/x
  3. Step 3: Cross multiply
    935.69x = 1,290.20 × 599.15
  4. Step 4: Simplify right side
    935.69x = 773,023.33
  5. Step 5: Solve for x
    x = 773,023.33/935.69
  6. Step 6: Final answer
    x = 826.15

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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.