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Finding the Fourth Proportional to 1,221.66, 1,685.90 and 697.69

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Solution

The fourth proportional to 1,221.66, 1,685.90 and 697.69 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.66 : 1,685.90 = 697.69 : x
  2. Step 2: Convert to fraction form
    1,221.66/1,685.90 = 697.69/x
  3. Step 3: Cross multiply
    1,221.66x = 1,685.90 × 697.69
  4. Step 4: Simplify right side
    1,221.66x = 1,176,233.10
  5. Step 5: Solve for x
    x = 1,176,233.10/1,221.66
  6. Step 6: Final answer
    x = 962.82

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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.