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Finding the Fourth Proportional to 1,194.81, 1,648.73 and 697.49

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Solution

The fourth proportional to 1,194.81, 1,648.73 and 697.49 is: 962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.81 : 1,648.73 = 697.49 : x
  2. Step 2: Convert to fraction form
    1,194.81/1,648.73 = 697.49/x
  3. Step 3: Cross multiply
    1,194.81x = 1,648.73 × 697.49
  4. Step 4: Simplify right side
    1,194.81x = 1,149,972.69
  5. Step 5: Solve for x
    x = 1,149,972.69/1,194.81
  6. Step 6: Final answer
    x = 962.47

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1.5x scale

Why These Related Problems?

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