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Finding the Fourth Proportional to 912.78, 1,369.23 and 365.07

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Solution

The fourth proportional to 912.78, 1,369.23 and 365.07 is: 547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.78 : 1,369.23 = 365.07 : x
  2. Step 2: Convert to fraction form
    912.78/1,369.23 = 365.07/x
  3. Step 3: Cross multiply
    912.78x = 1,369.23 × 365.07
  4. Step 4: Simplify right side
    912.78x = 499,864.80
  5. Step 5: Solve for x
    x = 499,864.80/912.78
  6. Step 6: Final answer
    x = 547.63

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1.5x scale

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.