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Finding the Fourth Proportional to 700.24, 966.16 and 607.70

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Solution

The fourth proportional to 700.24, 966.16 and 607.70 is: 838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.24 : 966.16 = 607.70 : x
  2. Step 2: Convert to fraction form
    700.24/966.16 = 607.70/x
  3. Step 3: Cross multiply
    700.24x = 966.16 × 607.70
  4. Step 4: Simplify right side
    700.24x = 587,135.43
  5. Step 5: Solve for x
    x = 587,135.43/700.24
  6. Step 6: Final answer
    x = 838.48

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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.