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Finding the Fourth Proportional to 1,218.71, 1,682.35 and 777.19

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Solution

The fourth proportional to 1,218.71, 1,682.35 and 777.19 is: 1,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.71 : 1,682.35 = 777.19 : x
  2. Step 2: Convert to fraction form
    1,218.71/1,682.35 = 777.19/x
  3. Step 3: Cross multiply
    1,218.71x = 1,682.35 × 777.19
  4. Step 4: Simplify right side
    1,218.71x = 1,307,497.50
  5. Step 5: Solve for x
    x = 1,307,497.50/1,218.71
  6. Step 6: Final answer
    x = 1,072.86

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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.