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Finding the Fourth Proportional to 721.64, 993.64 and 564.92

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Solution

The fourth proportional to 721.64, 993.64 and 564.92 is: 777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 993.64 = 564.92 : x
  2. Step 2: Convert to fraction form
    721.64/993.64 = 564.92/x
  3. Step 3: Cross multiply
    721.64x = 993.64 × 564.92
  4. Step 4: Simplify right side
    721.64x = 561,327.11
  5. Step 5: Solve for x
    x = 561,327.11/721.64
  6. Step 6: Final answer
    x = 777.85

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1.5x scale

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.