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Finding the Fourth Proportional to 926.07, 1,388.45 and 405.78

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Solution

The fourth proportional to 926.07, 1,388.45 and 405.78 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.07 : 1,388.45 = 405.78 : x
  2. Step 2: Convert to fraction form
    926.07/1,388.45 = 405.78/x
  3. Step 3: Cross multiply
    926.07x = 1,388.45 × 405.78
  4. Step 4: Simplify right side
    926.07x = 563,403.21
  5. Step 5: Solve for x
    x = 563,403.21/926.07
  6. Step 6: Final answer
    x = 608.38

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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.