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Finding the Fourth Proportional to 1,225.69, 1,691.41 and 701.72

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Solution

The fourth proportional to 1,225.69, 1,691.41 and 701.72 is: 968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.69 : 1,691.41 = 701.72 : x
  2. Step 2: Convert to fraction form
    1,225.69/1,691.41 = 701.72/x
  3. Step 3: Cross multiply
    1,225.69x = 1,691.41 × 701.72
  4. Step 4: Simplify right side
    1,225.69x = 1,186,896.23
  5. Step 5: Solve for x
    x = 1,186,896.23/1,225.69
  6. Step 6: Final answer
    x = 968.35

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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.