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Finding the Fourth Proportional to 696.46, 1,045.32 and 567.94

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Solution

The fourth proportional to 696.46, 1,045.32 and 567.94 is: 852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,045.32 = 567.94 : x
  2. Step 2: Convert to fraction form
    696.46/1,045.32 = 567.94/x
  3. Step 3: Cross multiply
    696.46x = 1,045.32 × 567.94
  4. Step 4: Simplify right side
    696.46x = 593,679.04
  5. Step 5: Solve for x
    x = 593,679.04/696.46
  6. Step 6: Final answer
    x = 852.42

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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.