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Finding the Fourth Proportional to 697.86, 960.48 and 557.52

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Solution

The fourth proportional to 697.86, 960.48 and 557.52 is: 767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 960.48 = 557.52 : x
  2. Step 2: Convert to fraction form
    697.86/960.48 = 557.52/x
  3. Step 3: Cross multiply
    697.86x = 960.48 × 557.52
  4. Step 4: Simplify right side
    697.86x = 535,486.81
  5. Step 5: Solve for x
    x = 535,486.81/697.86
  6. Step 6: Final answer
    x = 767.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.