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Finding the Fourth Proportional to 888.50, 1,225.76 and 589.89

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Solution

The fourth proportional to 888.50, 1,225.76 and 589.89 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.50 : 1,225.76 = 589.89 : x
  2. Step 2: Convert to fraction form
    888.50/1,225.76 = 589.89/x
  3. Step 3: Cross multiply
    888.50x = 1,225.76 × 589.89
  4. Step 4: Simplify right side
    888.50x = 723,063.57
  5. Step 5: Solve for x
    x = 723,063.57/888.50
  6. Step 6: Final answer
    x = 813.80

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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.