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Finding the Fourth Proportional to 894.91, 1,342.77 and 565.78

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Solution

The fourth proportional to 894.91, 1,342.77 and 565.78 is: 848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.91 : 1,342.77 = 565.78 : x
  2. Step 2: Convert to fraction form
    894.91/1,342.77 = 565.78/x
  3. Step 3: Cross multiply
    894.91x = 1,342.77 × 565.78
  4. Step 4: Simplify right side
    894.91x = 759,712.41
  5. Step 5: Solve for x
    x = 759,712.41/894.91
  6. Step 6: Final answer
    x = 848.93

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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.