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Finding the Fourth Proportional to 1,222.62, 1,686.96 and 780.24

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Solution

The fourth proportional to 1,222.62, 1,686.96 and 780.24 is: 1,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.62 : 1,686.96 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,222.62/1,686.96 = 780.24/x
  3. Step 3: Cross multiply
    1,222.62x = 1,686.96 × 780.24
  4. Step 4: Simplify right side
    1,222.62x = 1,316,233.67
  5. Step 5: Solve for x
    x = 1,316,233.67/1,222.62
  6. Step 6: Final answer
    x = 1,076.57

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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.