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Finding the Fourth Proportional to 652.88, 972.26 and 624.80

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Solution

The fourth proportional to 652.88, 972.26 and 624.80 is: 930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 972.26 = 624.80 : x
  2. Step 2: Convert to fraction form
    652.88/972.26 = 624.80/x
  3. Step 3: Cross multiply
    652.88x = 972.26 × 624.80
  4. Step 4: Simplify right side
    652.88x = 607,468.05
  5. Step 5: Solve for x
    x = 607,468.05/652.88
  6. Step 6: Final answer
    x = 930.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.