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Finding the Fourth Proportional to 1,204.69, 1,660.54 and 909.44

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Solution

The fourth proportional to 1,204.69, 1,660.54 and 909.44 is: 1,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 1,660.54 = 909.44 : x
  2. Step 2: Convert to fraction form
    1,204.69/1,660.54 = 909.44/x
  3. Step 3: Cross multiply
    1,204.69x = 1,660.54 × 909.44
  4. Step 4: Simplify right side
    1,204.69x = 1,510,161.50
  5. Step 5: Solve for x
    x = 1,510,161.50/1,204.69
  6. Step 6: Final answer
    x = 1,253.57

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1.5x scale

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.