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Finding the Fourth Proportional to 1,209.75, 1,669.46 and 657.75

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Solution

The fourth proportional to 1,209.75, 1,669.46 and 657.75 is: 907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.75 : 1,669.46 = 657.75 : x
  2. Step 2: Convert to fraction form
    1,209.75/1,669.46 = 657.75/x
  3. Step 3: Cross multiply
    1,209.75x = 1,669.46 × 657.75
  4. Step 4: Simplify right side
    1,209.75x = 1,098,084.03
  5. Step 5: Solve for x
    x = 1,098,084.03/1,209.75
  6. Step 6: Final answer
    x = 907.70

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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.