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Finding the Fourth Proportional to 894, 1,233.50 and 500.90

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Solution

The fourth proportional to 894, 1,233.50 and 500.90 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    894 : 1,233.50 = 500.90 : x
  2. Step 2: Convert to fraction form
    894/1,233.50 = 500.90/x
  3. Step 3: Cross multiply
    894x = 1,233.50 × 500.90
  4. Step 4: Simplify right side
    894x = 617,860.15
  5. Step 5: Solve for x
    x = 617,860.15/894
  6. Step 6: Final answer
    x = 691.12

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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.