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Finding the Fourth Proportional to 1,021.89, 1,531.83 and 777.90

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Solution

The fourth proportional to 1,021.89, 1,531.83 and 777.90 is: 1,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.89 : 1,531.83 = 777.90 : x
  2. Step 2: Convert to fraction form
    1,021.89/1,531.83 = 777.90/x
  3. Step 3: Cross multiply
    1,021.89x = 1,531.83 × 777.90
  4. Step 4: Simplify right side
    1,021.89x = 1,191,610.56
  5. Step 5: Solve for x
    x = 1,191,610.56/1,021.89
  6. Step 6: Final answer
    x = 1,166.08

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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.