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Finding the Fourth Proportional to 894.04, 1,234.20 and 595.79

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Solution

The fourth proportional to 894.04, 1,234.20 and 595.79 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.04 : 1,234.20 = 595.79 : x
  2. Step 2: Convert to fraction form
    894.04/1,234.20 = 595.79/x
  3. Step 3: Cross multiply
    894.04x = 1,234.20 × 595.79
  4. Step 4: Simplify right side
    894.04x = 735,322.11
  5. Step 5: Solve for x
    x = 735,322.11/894.04
  6. Step 6: Final answer
    x = 822.47

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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.