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Finding the Fourth Proportional to 1,034.13, 1,427.40 and 824.23

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Solution

The fourth proportional to 1,034.13, 1,427.40 and 824.23 is: 1,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.13 : 1,427.40 = 824.23 : x
  2. Step 2: Convert to fraction form
    1,034.13/1,427.40 = 824.23/x
  3. Step 3: Cross multiply
    1,034.13x = 1,427.40 × 824.23
  4. Step 4: Simplify right side
    1,034.13x = 1,176,501.25
  5. Step 5: Solve for x
    x = 1,176,501.25/1,034.13
  6. Step 6: Final answer
    x = 1,137.68

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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.