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Finding the Fourth Proportional to 1,223.08, 1,686.24 and 1,012.48

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Solution

The fourth proportional to 1,223.08, 1,686.24 and 1,012.48 is: 1,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.08 : 1,686.24 = 1,012.48 : x
  2. Step 2: Convert to fraction form
    1,223.08/1,686.24 = 1,012.48/x
  3. Step 3: Cross multiply
    1,223.08x = 1,686.24 × 1,012.48
  4. Step 4: Simplify right side
    1,223.08x = 1,707,284.28
  5. Step 5: Solve for x
    x = 1,707,284.28/1,223.08
  6. Step 6: Final answer
    x = 1,395.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.