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Finding the Fourth Proportional to 1,034.39, 1,559.34 and 965.66

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Solution

The fourth proportional to 1,034.39, 1,559.34 and 965.66 is: 1,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.39 : 1,559.34 = 965.66 : x
  2. Step 2: Convert to fraction form
    1,034.39/1,559.34 = 965.66/x
  3. Step 3: Cross multiply
    1,034.39x = 1,559.34 × 965.66
  4. Step 4: Simplify right side
    1,034.39x = 1,505,784.47
  5. Step 5: Solve for x
    x = 1,505,784.47/1,034.39
  6. Step 6: Final answer
    x = 1,455.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.