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Finding the Fourth Proportional to 926.30, 1,388.08 and 405.82

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Solution

The fourth proportional to 926.30, 1,388.08 and 405.82 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,388.08 = 405.82 : x
  2. Step 2: Convert to fraction form
    926.30/1,388.08 = 405.82/x
  3. Step 3: Cross multiply
    926.30x = 1,388.08 × 405.82
  4. Step 4: Simplify right side
    926.30x = 563,310.63
  5. Step 5: Solve for x
    x = 563,310.63/926.30
  6. Step 6: Final answer
    x = 608.13

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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.