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Finding the Fourth Proportional to 876.88, 1,208.99 and 578.08

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Solution

The fourth proportional to 876.88, 1,208.99 and 578.08 is: 797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.88 : 1,208.99 = 578.08 : x
  2. Step 2: Convert to fraction form
    876.88/1,208.99 = 578.08/x
  3. Step 3: Cross multiply
    876.88x = 1,208.99 × 578.08
  4. Step 4: Simplify right side
    876.88x = 698,890.05
  5. Step 5: Solve for x
    x = 698,890.05/876.88
  6. Step 6: Final answer
    x = 797.02

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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.