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Finding the Fourth Proportional to 697.68, 964.16 and 573.16

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Solution

The fourth proportional to 697.68, 964.16 and 573.16 is: 792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 964.16 = 573.16 : x
  2. Step 2: Convert to fraction form
    697.68/964.16 = 573.16/x
  3. Step 3: Cross multiply
    697.68x = 964.16 × 573.16
  4. Step 4: Simplify right side
    697.68x = 552,617.95
  5. Step 5: Solve for x
    x = 552,617.95/697.68
  6. Step 6: Final answer
    x = 792.08

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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.