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Finding the Fourth Proportional to 659.76, 911.55 and 554.88

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Solution

The fourth proportional to 659.76, 911.55 and 554.88 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 911.55 = 554.88 : x
  2. Step 2: Convert to fraction form
    659.76/911.55 = 554.88/x
  3. Step 3: Cross multiply
    659.76x = 911.55 × 554.88
  4. Step 4: Simplify right side
    659.76x = 505,800.86
  5. Step 5: Solve for x
    x = 505,800.86/659.76
  6. Step 6: Final answer
    x = 766.64

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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.