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Finding the Fourth Proportional to 696.07, 1,043.80 and 209.16

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Solution

The fourth proportional to 696.07, 1,043.80 and 209.16 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.07 : 1,043.80 = 209.16 : x
  2. Step 2: Convert to fraction form
    696.07/1,043.80 = 209.16/x
  3. Step 3: Cross multiply
    696.07x = 1,043.80 × 209.16
  4. Step 4: Simplify right side
    696.07x = 218,320.16
  5. Step 5: Solve for x
    x = 218,320.16/696.07
  6. Step 6: Final answer
    x = 313.65

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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.