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Finding the Fourth Proportional to 924.78, 1,384.47 and 801

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Solution

The fourth proportional to 924.78, 1,384.47 and 801 is: 1,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.78 : 1,384.47 = 801 : x
  2. Step 2: Convert to fraction form
    924.78/1,384.47 = 801/x
  3. Step 3: Cross multiply
    924.78x = 1,384.47 × 801
  4. Step 4: Simplify right side
    924.78x = 1,108,960.47
  5. Step 5: Solve for x
    x = 1,108,960.47/924.78
  6. Step 6: Final answer
    x = 1,199.16

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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.