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Finding the Fourth Proportional to 755.82, 1,043.03 and 506.75

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Solution

The fourth proportional to 755.82, 1,043.03 and 506.75 is: 699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.82 : 1,043.03 = 506.75 : x
  2. Step 2: Convert to fraction form
    755.82/1,043.03 = 506.75/x
  3. Step 3: Cross multiply
    755.82x = 1,043.03 × 506.75
  4. Step 4: Simplify right side
    755.82x = 528,547.70
  5. Step 5: Solve for x
    x = 528,547.70/755.82
  6. Step 6: Final answer
    x = 699.30

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Why These Related Problems?

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