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Finding the Fourth Proportional to 755.83, 1,042.30 and 589.98

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Solution

The fourth proportional to 755.83, 1,042.30 and 589.98 is: 813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.83 : 1,042.30 = 589.98 : x
  2. Step 2: Convert to fraction form
    755.83/1,042.30 = 589.98/x
  3. Step 3: Cross multiply
    755.83x = 1,042.30 × 589.98
  4. Step 4: Simplify right side
    755.83x = 614,940.80
  5. Step 5: Solve for x
    x = 614,940.80/755.83
  6. Step 6: Final answer
    x = 813.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.