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Finding the Fourth Proportional to 924.79, 1,384.79 and 596.07

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Solution

The fourth proportional to 924.79, 1,384.79 and 596.07 is: 892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.79 : 1,384.79 = 596.07 : x
  2. Step 2: Convert to fraction form
    924.79/1,384.79 = 596.07/x
  3. Step 3: Cross multiply
    924.79x = 1,384.79 × 596.07
  4. Step 4: Simplify right side
    924.79x = 825,431.78
  5. Step 5: Solve for x
    x = 825,431.78/924.79
  6. Step 6: Final answer
    x = 892.56

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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.