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Finding the Fourth Proportional to 1,216.76, 1,679.07 and 719.36

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Solution

The fourth proportional to 1,216.76, 1,679.07 and 719.36 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.76 : 1,679.07 = 719.36 : x
  2. Step 2: Convert to fraction form
    1,216.76/1,679.07 = 719.36/x
  3. Step 3: Cross multiply
    1,216.76x = 1,679.07 × 719.36
  4. Step 4: Simplify right side
    1,216.76x = 1,207,855.80
  5. Step 5: Solve for x
    x = 1,207,855.80/1,216.76
  6. Step 6: Final answer
    x = 992.68

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Half scale
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Double scale
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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.