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Finding the Fourth Proportional to 696.85, 1,045.54 and 372.04

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Solution

The fourth proportional to 696.85, 1,045.54 and 372.04 is: 558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.85 : 1,045.54 = 372.04 : x
  2. Step 2: Convert to fraction form
    696.85/1,045.54 = 372.04/x
  3. Step 3: Cross multiply
    696.85x = 1,045.54 × 372.04
  4. Step 4: Simplify right side
    696.85x = 388,982.70
  5. Step 5: Solve for x
    x = 388,982.70/696.85
  6. Step 6: Final answer
    x = 558.20

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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.