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Finding the Fourth Proportional to 826.93, 1,141.04 and 532.59

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Solution

The fourth proportional to 826.93, 1,141.04 and 532.59 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.93 : 1,141.04 = 532.59 : x
  2. Step 2: Convert to fraction form
    826.93/1,141.04 = 532.59/x
  3. Step 3: Cross multiply
    826.93x = 1,141.04 × 532.59
  4. Step 4: Simplify right side
    826.93x = 607,703.83
  5. Step 5: Solve for x
    x = 607,703.83/826.93
  6. Step 6: Final answer
    x = 734.89

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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.