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Finding the Fourth Proportional to 1,194.49, 1,648.28 and 697.10

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Solution

The fourth proportional to 1,194.49, 1,648.28 and 697.10 is: 961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.49 : 1,648.28 = 697.10 : x
  2. Step 2: Convert to fraction form
    1,194.49/1,648.28 = 697.10/x
  3. Step 3: Cross multiply
    1,194.49x = 1,648.28 × 697.10
  4. Step 4: Simplify right side
    1,194.49x = 1,149,012.50
  5. Step 5: Solve for x
    x = 1,149,012.50/1,194.49
  6. Step 6: Final answer
    x = 961.93

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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.