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Finding the Fourth Proportional to 924.69, 1,383.78 and 578.19

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Solution

The fourth proportional to 924.69, 1,383.78 and 578.19 is: 865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.69 : 1,383.78 = 578.19 : x
  2. Step 2: Convert to fraction form
    924.69/1,383.78 = 578.19/x
  3. Step 3: Cross multiply
    924.69x = 1,383.78 × 578.19
  4. Step 4: Simplify right side
    924.69x = 800,087.76
  5. Step 5: Solve for x
    x = 800,087.76/924.69
  6. Step 6: Final answer
    x = 865.25

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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.