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Finding the Fourth Proportional to 1,209.76, 1,669.52 and 685.76

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Solution

The fourth proportional to 1,209.76, 1,669.52 and 685.76 is: 946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,669.52 = 685.76 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,669.52 = 685.76/x
  3. Step 3: Cross multiply
    1,209.76x = 1,669.52 × 685.76
  4. Step 4: Simplify right side
    1,209.76x = 1,144,890.04
  5. Step 5: Solve for x
    x = 1,144,890.04/1,209.76
  6. Step 6: Final answer
    x = 946.38

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1.5x scale

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.