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Finding the Fourth Proportional to 924.73, 1,384.40 and 484.94

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Solution

The fourth proportional to 924.73, 1,384.40 and 484.94 is: 725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.73 : 1,384.40 = 484.94 : x
  2. Step 2: Convert to fraction form
    924.73/1,384.40 = 484.94/x
  3. Step 3: Cross multiply
    924.73x = 1,384.40 × 484.94
  4. Step 4: Simplify right side
    924.73x = 671,345.44
  5. Step 5: Solve for x
    x = 671,345.44/924.73
  6. Step 6: Final answer
    x = 725.99

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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.