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Finding the Fourth Proportional to 589.50, 885.77 and 525.10

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Solution

The fourth proportional to 589.50, 885.77 and 525.10 is: 789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 885.77 = 525.10 : x
  2. Step 2: Convert to fraction form
    589.50/885.77 = 525.10/x
  3. Step 3: Cross multiply
    589.50x = 885.77 × 525.10
  4. Step 4: Simplify right side
    589.50x = 465,116.31
  5. Step 5: Solve for x
    x = 465,116.31/589.50
  6. Step 6: Final answer
    x = 789.01

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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.