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Finding the Fourth Proportional to 650.68, 970.01 and 598.84

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Solution

The fourth proportional to 650.68, 970.01 and 598.84 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.68 : 970.01 = 598.84 : x
  2. Step 2: Convert to fraction form
    650.68/970.01 = 598.84/x
  3. Step 3: Cross multiply
    650.68x = 970.01 × 598.84
  4. Step 4: Simplify right side
    650.68x = 580,880.79
  5. Step 5: Solve for x
    x = 580,880.79/650.68
  6. Step 6: Final answer
    x = 892.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.