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Finding the Fourth Proportional to 926.54, 1,388.44 and 601.22

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Solution

The fourth proportional to 926.54, 1,388.44 and 601.22 is: 900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.54 : 1,388.44 = 601.22 : x
  2. Step 2: Convert to fraction form
    926.54/1,388.44 = 601.22/x
  3. Step 3: Cross multiply
    926.54x = 1,388.44 × 601.22
  4. Step 4: Simplify right side
    926.54x = 834,762.12
  5. Step 5: Solve for x
    x = 834,762.12/926.54
  6. Step 6: Final answer
    x = 900.95

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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.