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Finding the Fourth Proportional to 755.88, 1,135.31 and 583.35

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Solution

The fourth proportional to 755.88, 1,135.31 and 583.35 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.88 : 1,135.31 = 583.35 : x
  2. Step 2: Convert to fraction form
    755.88/1,135.31 = 583.35/x
  3. Step 3: Cross multiply
    755.88x = 1,135.31 × 583.35
  4. Step 4: Simplify right side
    755.88x = 662,280.17
  5. Step 5: Solve for x
    x = 662,280.17/755.88
  6. Step 6: Final answer
    x = 876.17

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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.