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Finding the Fourth Proportional to 1,204.16, 1,661.52 and 680.18

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Solution

The fourth proportional to 1,204.16, 1,661.52 and 680.18 is: 938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.16 : 1,661.52 = 680.18 : x
  2. Step 2: Convert to fraction form
    1,204.16/1,661.52 = 680.18/x
  3. Step 3: Cross multiply
    1,204.16x = 1,661.52 × 680.18
  4. Step 4: Simplify right side
    1,204.16x = 1,130,132.67
  5. Step 5: Solve for x
    x = 1,130,132.67/1,204.16
  6. Step 6: Final answer
    x = 938.52

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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.