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Finding the Fourth Proportional to 777.33, 1,159.55 and 754.52

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Solution

The fourth proportional to 777.33, 1,159.55 and 754.52 is: 1,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.33 : 1,159.55 = 754.52 : x
  2. Step 2: Convert to fraction form
    777.33/1,159.55 = 754.52/x
  3. Step 3: Cross multiply
    777.33x = 1,159.55 × 754.52
  4. Step 4: Simplify right side
    777.33x = 874,896.93
  5. Step 5: Solve for x
    x = 874,896.93/777.33
  6. Step 6: Final answer
    x = 1,125.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.