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Finding the Fourth Proportional to 924.99, 1,383.43 and 805.11

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Solution

The fourth proportional to 924.99, 1,383.43 and 805.11 is: 1,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.99 : 1,383.43 = 805.11 : x
  2. Step 2: Convert to fraction form
    924.99/1,383.43 = 805.11/x
  3. Step 3: Cross multiply
    924.99x = 1,383.43 × 805.11
  4. Step 4: Simplify right side
    924.99x = 1,113,813.33
  5. Step 5: Solve for x
    x = 1,113,813.33/924.99
  6. Step 6: Final answer
    x = 1,204.14

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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.