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Finding the Fourth Proportional to 894.97, 1,234.61 and 562.77

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Solution

The fourth proportional to 894.97, 1,234.61 and 562.77 is: 776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.97 : 1,234.61 = 562.77 : x
  2. Step 2: Convert to fraction form
    894.97/1,234.61 = 562.77/x
  3. Step 3: Cross multiply
    894.97x = 1,234.61 × 562.77
  4. Step 4: Simplify right side
    894.97x = 694,800.77
  5. Step 5: Solve for x
    x = 694,800.77/894.97
  6. Step 6: Final answer
    x = 776.34

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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.