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Finding the Fourth Proportional to 1,216.41, 1,678.56 and 719.20

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Solution

The fourth proportional to 1,216.41, 1,678.56 and 719.20 is: 992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.41 : 1,678.56 = 719.20 : x
  2. Step 2: Convert to fraction form
    1,216.41/1,678.56 = 719.20/x
  3. Step 3: Cross multiply
    1,216.41x = 1,678.56 × 719.20
  4. Step 4: Simplify right side
    1,216.41x = 1,207,220.35
  5. Step 5: Solve for x
    x = 1,207,220.35/1,216.41
  6. Step 6: Final answer
    x = 992.45

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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.