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Finding the Fourth Proportional to 698.85, 1,048.85 and 352.28

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Solution

The fourth proportional to 698.85, 1,048.85 and 352.28 is: 528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 1,048.85 = 352.28 : x
  2. Step 2: Convert to fraction form
    698.85/1,048.85 = 352.28/x
  3. Step 3: Cross multiply
    698.85x = 1,048.85 × 352.28
  4. Step 4: Simplify right side
    698.85x = 369,488.88
  5. Step 5: Solve for x
    x = 369,488.88/698.85
  6. Step 6: Final answer
    x = 528.71

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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.