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Finding the Fourth Proportional to 894.91, 1,235.51 and 580.27

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Solution

The fourth proportional to 894.91, 1,235.51 and 580.27 is: 801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.91 : 1,235.51 = 580.27 : x
  2. Step 2: Convert to fraction form
    894.91/1,235.51 = 580.27/x
  3. Step 3: Cross multiply
    894.91x = 1,235.51 × 580.27
  4. Step 4: Simplify right side
    894.91x = 716,929.39
  5. Step 5: Solve for x
    x = 716,929.39/894.91
  6. Step 6: Final answer
    x = 801.12

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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.