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Finding the Fourth Proportional to 626.04, 862.54 and 567.80

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Solution

The fourth proportional to 626.04, 862.54 and 567.80 is: 782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.04 : 862.54 = 567.80 : x
  2. Step 2: Convert to fraction form
    626.04/862.54 = 567.80/x
  3. Step 3: Cross multiply
    626.04x = 862.54 × 567.80
  4. Step 4: Simplify right side
    626.04x = 489,750.21
  5. Step 5: Solve for x
    x = 489,750.21/626.04
  6. Step 6: Final answer
    x = 782.30

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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.