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Finding the Fourth Proportional to 1,222.17, 1,686.54 and 691.08

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Solution

The fourth proportional to 1,222.17, 1,686.54 and 691.08 is: 953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.17 : 1,686.54 = 691.08 : x
  2. Step 2: Convert to fraction form
    1,222.17/1,686.54 = 691.08/x
  3. Step 3: Cross multiply
    1,222.17x = 1,686.54 × 691.08
  4. Step 4: Simplify right side
    1,222.17x = 1,165,534.06
  5. Step 5: Solve for x
    x = 1,165,534.06/1,222.17
  6. Step 6: Final answer
    x = 953.66

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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.