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Finding the Fourth Proportional to 894.18, 1,232.83 and 578.89

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Solution

The fourth proportional to 894.18, 1,232.83 and 578.89 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.18 : 1,232.83 = 578.89 : x
  2. Step 2: Convert to fraction form
    894.18/1,232.83 = 578.89/x
  3. Step 3: Cross multiply
    894.18x = 1,232.83 × 578.89
  4. Step 4: Simplify right side
    894.18x = 713,668.43
  5. Step 5: Solve for x
    x = 713,668.43/894.18
  6. Step 6: Final answer
    x = 798.13

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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.