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Finding the Fourth Proportional to 826.94, 1,140.63 and 532.58

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Solution

The fourth proportional to 826.94, 1,140.63 and 532.58 is: 734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,140.63 = 532.58 : x
  2. Step 2: Convert to fraction form
    826.94/1,140.63 = 532.58/x
  3. Step 3: Cross multiply
    826.94x = 1,140.63 × 532.58
  4. Step 4: Simplify right side
    826.94x = 607,476.73
  5. Step 5: Solve for x
    x = 607,476.73/826.94
  6. Step 6: Final answer
    x = 734.61

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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.