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Finding the Fourth Proportional to 696.34, 1,042.07 and 480.07

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Solution

The fourth proportional to 696.34, 1,042.07 and 480.07 is: 718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.34 : 1,042.07 = 480.07 : x
  2. Step 2: Convert to fraction form
    696.34/1,042.07 = 480.07/x
  3. Step 3: Cross multiply
    696.34x = 1,042.07 × 480.07
  4. Step 4: Simplify right side
    696.34x = 500,265.14
  5. Step 5: Solve for x
    x = 500,265.14/696.34
  6. Step 6: Final answer
    x = 718.42

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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.