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Finding the Fourth Proportional to 1,463.69, 2,197.38 and 909.21

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Solution

The fourth proportional to 1,463.69, 2,197.38 and 909.21 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.69 : 2,197.38 = 909.21 : x
  2. Step 2: Convert to fraction form
    1,463.69/2,197.38 = 909.21/x
  3. Step 3: Cross multiply
    1,463.69x = 2,197.38 × 909.21
  4. Step 4: Simplify right side
    1,463.69x = 1,997,879.87
  5. Step 5: Solve for x
    x = 1,997,879.87/1,463.69
  6. Step 6: Final answer
    x = 1,364.96

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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.