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Finding the Fourth Proportional to 924.08, 1,384.76 and 512.72

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Solution

The fourth proportional to 924.08, 1,384.76 and 512.72 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.08 : 1,384.76 = 512.72 : x
  2. Step 2: Convert to fraction form
    924.08/1,384.76 = 512.72/x
  3. Step 3: Cross multiply
    924.08x = 1,384.76 × 512.72
  4. Step 4: Simplify right side
    924.08x = 709,994.15
  5. Step 5: Solve for x
    x = 709,994.15/924.08
  6. Step 6: Final answer
    x = 768.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.