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Finding the Fourth Proportional to 700.43, 964.20 and 575.90

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Solution

The fourth proportional to 700.43, 964.20 and 575.90 is: 792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.43 : 964.20 = 575.90 : x
  2. Step 2: Convert to fraction form
    700.43/964.20 = 575.90/x
  3. Step 3: Cross multiply
    700.43x = 964.20 × 575.90
  4. Step 4: Simplify right side
    700.43x = 555,277.96
  5. Step 5: Solve for x
    x = 555,277.96/700.43
  6. Step 6: Final answer
    x = 792.77

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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.