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Finding the Fourth Proportional to 815.50, 1,225.07 and 491.10

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Solution

The fourth proportional to 815.50, 1,225.07 and 491.10 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.50 : 1,225.07 = 491.10 : x
  2. Step 2: Convert to fraction form
    815.50/1,225.07 = 491.10/x
  3. Step 3: Cross multiply
    815.50x = 1,225.07 × 491.10
  4. Step 4: Simplify right side
    815.50x = 601,631.88
  5. Step 5: Solve for x
    x = 601,631.88/815.50
  6. Step 6: Final answer
    x = 737.75

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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.