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Finding the Fourth Proportional to 762.26, 1,050.90 and 595.82

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Solution

The fourth proportional to 762.26, 1,050.90 and 595.82 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.26 : 1,050.90 = 595.82 : x
  2. Step 2: Convert to fraction form
    762.26/1,050.90 = 595.82/x
  3. Step 3: Cross multiply
    762.26x = 1,050.90 × 595.82
  4. Step 4: Simplify right side
    762.26x = 626,147.24
  5. Step 5: Solve for x
    x = 626,147.24/762.26
  6. Step 6: Final answer
    x = 821.44

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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.