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Finding the Fourth Proportional to 661.86, 913.85 and 504.76

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Solution

The fourth proportional to 661.86, 913.85 and 504.76 is: 696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.86 : 913.85 = 504.76 : x
  2. Step 2: Convert to fraction form
    661.86/913.85 = 504.76/x
  3. Step 3: Cross multiply
    661.86x = 913.85 × 504.76
  4. Step 4: Simplify right side
    661.86x = 461,272.40
  5. Step 5: Solve for x
    x = 461,272.40/661.86
  6. Step 6: Final answer
    x = 696.94

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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.