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Finding the Fourth Proportional to 700.87, 967.13 and 406.15

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Solution

The fourth proportional to 700.87, 967.13 and 406.15 is: 560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.87 : 967.13 = 406.15 : x
  2. Step 2: Convert to fraction form
    700.87/967.13 = 406.15/x
  3. Step 3: Cross multiply
    700.87x = 967.13 × 406.15
  4. Step 4: Simplify right side
    700.87x = 392,797.82
  5. Step 5: Solve for x
    x = 392,797.82/700.87
  6. Step 6: Final answer
    x = 560.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.