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Finding the Fourth Proportional to 589.03, 881.10 and 535.57

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Solution

The fourth proportional to 589.03, 881.10 and 535.57 is: 801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.03 : 881.10 = 535.57 : x
  2. Step 2: Convert to fraction form
    589.03/881.10 = 535.57/x
  3. Step 3: Cross multiply
    589.03x = 881.10 × 535.57
  4. Step 4: Simplify right side
    589.03x = 471,890.73
  5. Step 5: Solve for x
    x = 471,890.73/589.03
  6. Step 6: Final answer
    x = 801.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.