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Finding the Fourth Proportional to 669.59, 922.85 and 564.95

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Solution

The fourth proportional to 669.59, 922.85 and 564.95 is: 778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 922.85 = 564.95 : x
  2. Step 2: Convert to fraction form
    669.59/922.85 = 564.95/x
  3. Step 3: Cross multiply
    669.59x = 922.85 × 564.95
  4. Step 4: Simplify right side
    669.59x = 521,356.67
  5. Step 5: Solve for x
    x = 521,356.67/669.59
  6. Step 6: Final answer
    x = 778.63

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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.