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Finding the Fourth Proportional to 926.33, 1,389.90 and 541.58

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Solution

The fourth proportional to 926.33, 1,389.90 and 541.58 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.33 : 1,389.90 = 541.58 : x
  2. Step 2: Convert to fraction form
    926.33/1,389.90 = 541.58/x
  3. Step 3: Cross multiply
    926.33x = 1,389.90 × 541.58
  4. Step 4: Simplify right side
    926.33x = 752,742.04
  5. Step 5: Solve for x
    x = 752,742.04/926.33
  6. Step 6: Final answer
    x = 812.61

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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.