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Finding the Fourth Proportional to 912.60, 1,369.14 and 263.37

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Solution

The fourth proportional to 912.60, 1,369.14 and 263.37 is: 395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.60 : 1,369.14 = 263.37 : x
  2. Step 2: Convert to fraction form
    912.60/1,369.14 = 263.37/x
  3. Step 3: Cross multiply
    912.60x = 1,369.14 × 263.37
  4. Step 4: Simplify right side
    912.60x = 360,590.40
  5. Step 5: Solve for x
    x = 360,590.40/912.60
  6. Step 6: Final answer
    x = 395.12

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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.