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Finding the Fourth Proportional to 1,297.09, 1,946.11 and 777.46

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Solution

The fourth proportional to 1,297.09, 1,946.11 and 777.46 is: 1,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.09 : 1,946.11 = 777.46 : x
  2. Step 2: Convert to fraction form
    1,297.09/1,946.11 = 777.46/x
  3. Step 3: Cross multiply
    1,297.09x = 1,946.11 × 777.46
  4. Step 4: Simplify right side
    1,297.09x = 1,513,012.95
  5. Step 5: Solve for x
    x = 1,513,012.95/1,297.09
  6. Step 6: Final answer
    x = 1,166.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.