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Finding the Fourth Proportional to 1,324.60, 1,828.18 and 1,009.38

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Solution

The fourth proportional to 1,324.60, 1,828.18 and 1,009.38 is: 1,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.60 : 1,828.18 = 1,009.38 : x
  2. Step 2: Convert to fraction form
    1,324.60/1,828.18 = 1,009.38/x
  3. Step 3: Cross multiply
    1,324.60x = 1,828.18 × 1,009.38
  4. Step 4: Simplify right side
    1,324.60x = 1,845,328.33
  5. Step 5: Solve for x
    x = 1,845,328.33/1,324.60
  6. Step 6: Final answer
    x = 1,393.12

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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.