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Finding the Fourth Proportional to 589.40, 887.51 and 525

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Solution

The fourth proportional to 589.40, 887.51 and 525 is: 790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 887.51 = 525 : x
  2. Step 2: Convert to fraction form
    589.40/887.51 = 525/x
  3. Step 3: Cross multiply
    589.40x = 887.51 × 525
  4. Step 4: Simplify right side
    589.40x = 465,942.75
  5. Step 5: Solve for x
    x = 465,942.75/589.40
  6. Step 6: Final answer
    x = 790.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.