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Finding the Fourth Proportional to 700.89, 967.05 and 406.05

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Solution

The fourth proportional to 700.89, 967.05 and 406.05 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.89 : 967.05 = 406.05 : x
  2. Step 2: Convert to fraction form
    700.89/967.05 = 406.05/x
  3. Step 3: Cross multiply
    700.89x = 967.05 × 406.05
  4. Step 4: Simplify right side
    700.89x = 392,670.65
  5. Step 5: Solve for x
    x = 392,670.65/700.89
  6. Step 6: Final answer
    x = 560.25

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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.