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Finding the Fourth Proportional to 1,266.33, 1,897.41 and 777.99

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Solution

The fourth proportional to 1,266.33, 1,897.41 and 777.99 is: 1,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.33 : 1,897.41 = 777.99 : x
  2. Step 2: Convert to fraction form
    1,266.33/1,897.41 = 777.99/x
  3. Step 3: Cross multiply
    1,266.33x = 1,897.41 × 777.99
  4. Step 4: Simplify right side
    1,266.33x = 1,476,166.01
  5. Step 5: Solve for x
    x = 1,476,166.01/1,266.33
  6. Step 6: Final answer
    x = 1,165.70

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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.