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Finding the Fourth Proportional to 935.59, 1,290.87 and 749.46

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Solution

The fourth proportional to 935.59, 1,290.87 and 749.46 is: 1,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.59 : 1,290.87 = 749.46 : x
  2. Step 2: Convert to fraction form
    935.59/1,290.87 = 749.46/x
  3. Step 3: Cross multiply
    935.59x = 1,290.87 × 749.46
  4. Step 4: Simplify right side
    935.59x = 967,455.43
  5. Step 5: Solve for x
    x = 967,455.43/935.59
  6. Step 6: Final answer
    x = 1,034.06

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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.