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Finding the Fourth Proportional to 926.78, 1,388.14 and 406.08

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Solution

The fourth proportional to 926.78, 1,388.14 and 406.08 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.78 : 1,388.14 = 406.08 : x
  2. Step 2: Convert to fraction form
    926.78/1,388.14 = 406.08/x
  3. Step 3: Cross multiply
    926.78x = 1,388.14 × 406.08
  4. Step 4: Simplify right side
    926.78x = 563,694.88
  5. Step 5: Solve for x
    x = 563,694.88/926.78
  6. Step 6: Final answer
    x = 608.23

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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.