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Finding the Fourth Proportional to 926.84, 1,387.23 and 596.57

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Solution

The fourth proportional to 926.84, 1,387.23 and 596.57 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.84 : 1,387.23 = 596.57 : x
  2. Step 2: Convert to fraction form
    926.84/1,387.23 = 596.57/x
  3. Step 3: Cross multiply
    926.84x = 1,387.23 × 596.57
  4. Step 4: Simplify right side
    926.84x = 827,570.63
  5. Step 5: Solve for x
    x = 827,570.63/926.84
  6. Step 6: Final answer
    x = 892.89

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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.