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Finding the Fourth Proportional to 628.81, 868.63 and 598.05

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Solution

The fourth proportional to 628.81, 868.63 and 598.05 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.81 : 868.63 = 598.05 : x
  2. Step 2: Convert to fraction form
    628.81/868.63 = 598.05/x
  3. Step 3: Cross multiply
    628.81x = 868.63 × 598.05
  4. Step 4: Simplify right side
    628.81x = 519,482.93
  5. Step 5: Solve for x
    x = 519,482.93/628.81
  6. Step 6: Final answer
    x = 826.14

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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.