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Finding the Fourth Proportional to 1,034.22, 1,559.43 and 948.09

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Solution

The fourth proportional to 1,034.22, 1,559.43 and 948.09 is: 1,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.22 : 1,559.43 = 948.09 : x
  2. Step 2: Convert to fraction form
    1,034.22/1,559.43 = 948.09/x
  3. Step 3: Cross multiply
    1,034.22x = 1,559.43 × 948.09
  4. Step 4: Simplify right side
    1,034.22x = 1,478,479.99
  5. Step 5: Solve for x
    x = 1,478,479.99/1,034.22
  6. Step 6: Final answer
    x = 1,429.56

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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.