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Finding the Fourth Proportional to 890.01, 1,226.75 and 595.17

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Solution

The fourth proportional to 890.01, 1,226.75 and 595.17 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.01 : 1,226.75 = 595.17 : x
  2. Step 2: Convert to fraction form
    890.01/1,226.75 = 595.17/x
  3. Step 3: Cross multiply
    890.01x = 1,226.75 × 595.17
  4. Step 4: Simplify right side
    890.01x = 730,121.82
  5. Step 5: Solve for x
    x = 730,121.82/890.01
  6. Step 6: Final answer
    x = 820.35

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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.