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Finding the Fourth Proportional to 1,097.42, 1,646.12 and 658.79

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Solution

The fourth proportional to 1,097.42, 1,646.12 and 658.79 is: 988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.42 : 1,646.12 = 658.79 : x
  2. Step 2: Convert to fraction form
    1,097.42/1,646.12 = 658.79/x
  3. Step 3: Cross multiply
    1,097.42x = 1,646.12 × 658.79
  4. Step 4: Simplify right side
    1,097.42x = 1,084,435.87
  5. Step 5: Solve for x
    x = 1,084,435.87/1,097.42
  6. Step 6: Final answer
    x = 988.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.