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Finding the Fourth Proportional to 589.84, 812.08 and 559.04

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Solution

The fourth proportional to 589.84, 812.08 and 559.04 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 812.08 = 559.04 : x
  2. Step 2: Convert to fraction form
    589.84/812.08 = 559.04/x
  3. Step 3: Cross multiply
    589.84x = 812.08 × 559.04
  4. Step 4: Simplify right side
    589.84x = 453,985.20
  5. Step 5: Solve for x
    x = 453,985.20/589.84
  6. Step 6: Final answer
    x = 769.68

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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.