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Finding the Fourth Proportional to 698.49, 1,048.50 and 406.32

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Solution

The fourth proportional to 698.49, 1,048.50 and 406.32 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.49 : 1,048.50 = 406.32 : x
  2. Step 2: Convert to fraction form
    698.49/1,048.50 = 406.32/x
  3. Step 3: Cross multiply
    698.49x = 1,048.50 × 406.32
  4. Step 4: Simplify right side
    698.49x = 426,019.25
  5. Step 5: Solve for x
    x = 426,019.25/698.49
  6. Step 6: Final answer
    x = 609.92

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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.