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Finding the Fourth Proportional to 1,216.74, 1,824.94 and 395.02

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Solution

The fourth proportional to 1,216.74, 1,824.94 and 395.02 is: 592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.74 : 1,824.94 = 395.02 : x
  2. Step 2: Convert to fraction form
    1,216.74/1,824.94 = 395.02/x
  3. Step 3: Cross multiply
    1,216.74x = 1,824.94 × 395.02
  4. Step 4: Simplify right side
    1,216.74x = 720,888.35
  5. Step 5: Solve for x
    x = 720,888.35/1,216.74
  6. Step 6: Final answer
    x = 592.48

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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.