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Finding the Fourth Proportional to 909.85, 1,255.80 and 578.02

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Solution

The fourth proportional to 909.85, 1,255.80 and 578.02 is: 797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.85 : 1,255.80 = 578.02 : x
  2. Step 2: Convert to fraction form
    909.85/1,255.80 = 578.02/x
  3. Step 3: Cross multiply
    909.85x = 1,255.80 × 578.02
  4. Step 4: Simplify right side
    909.85x = 725,877.52
  5. Step 5: Solve for x
    x = 725,877.52/909.85
  6. Step 6: Final answer
    x = 797.80

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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.