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Finding the Fourth Proportional to 826.90, 1,140.84 and 532.33

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Solution

The fourth proportional to 826.90, 1,140.84 and 532.33 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.90 : 1,140.84 = 532.33 : x
  2. Step 2: Convert to fraction form
    826.90/1,140.84 = 532.33/x
  3. Step 3: Cross multiply
    826.90x = 1,140.84 × 532.33
  4. Step 4: Simplify right side
    826.90x = 607,303.36
  5. Step 5: Solve for x
    x = 607,303.36/826.90
  6. Step 6: Final answer
    x = 734.43

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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.