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Finding the Fourth Proportional to 873.33, 1,203.89 and 578.08

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Solution

The fourth proportional to 873.33, 1,203.89 and 578.08 is: 796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.33 : 1,203.89 = 578.08 : x
  2. Step 2: Convert to fraction form
    873.33/1,203.89 = 578.08/x
  3. Step 3: Cross multiply
    873.33x = 1,203.89 × 578.08
  4. Step 4: Simplify right side
    873.33x = 695,944.73
  5. Step 5: Solve for x
    x = 695,944.73/873.33
  6. Step 6: Final answer
    x = 796.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.