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Finding the Fourth Proportional to 924.42, 1,384.42 and 512.54

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Solution

The fourth proportional to 924.42, 1,384.42 and 512.54 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.42 : 1,384.42 = 512.54 : x
  2. Step 2: Convert to fraction form
    924.42/1,384.42 = 512.54/x
  3. Step 3: Cross multiply
    924.42x = 1,384.42 × 512.54
  4. Step 4: Simplify right side
    924.42x = 709,563.70
  5. Step 5: Solve for x
    x = 709,563.70/924.42
  6. Step 6: Final answer
    x = 767.58

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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.