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Finding the Fourth Proportional to 1,233.07, 1,847.71 and 616.16

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Solution

The fourth proportional to 1,233.07, 1,847.71 and 616.16 is: 923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.07 : 1,847.71 = 616.16 : x
  2. Step 2: Convert to fraction form
    1,233.07/1,847.71 = 616.16/x
  3. Step 3: Cross multiply
    1,233.07x = 1,847.71 × 616.16
  4. Step 4: Simplify right side
    1,233.07x = 1,138,479.99
  5. Step 5: Solve for x
    x = 1,138,479.99/1,233.07
  6. Step 6: Final answer
    x = 923.29

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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.