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Finding the Fourth Proportional to 1,218.70, 1,682.04 and 777.10

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Solution

The fourth proportional to 1,218.70, 1,682.04 and 777.10 is: 1,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.70 : 1,682.04 = 777.10 : x
  2. Step 2: Convert to fraction form
    1,218.70/1,682.04 = 777.10/x
  3. Step 3: Cross multiply
    1,218.70x = 1,682.04 × 777.10
  4. Step 4: Simplify right side
    1,218.70x = 1,307,113.28
  5. Step 5: Solve for x
    x = 1,307,113.28/1,218.70
  6. Step 6: Final answer
    x = 1,072.55

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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.