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Finding the Fourth Proportional to 586.26, 874.81 and 534.51

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Solution

The fourth proportional to 586.26, 874.81 and 534.51 is: 797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 874.81 = 534.51 : x
  2. Step 2: Convert to fraction form
    586.26/874.81 = 534.51/x
  3. Step 3: Cross multiply
    586.26x = 874.81 × 534.51
  4. Step 4: Simplify right side
    586.26x = 467,594.69
  5. Step 5: Solve for x
    x = 467,594.69/586.26
  6. Step 6: Final answer
    x = 797.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.