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Finding the Fourth Proportional to 586.89, 884.66 and 537.59

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Solution

The fourth proportional to 586.89, 884.66 and 537.59 is: 810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 884.66 = 537.59 : x
  2. Step 2: Convert to fraction form
    586.89/884.66 = 537.59/x
  3. Step 3: Cross multiply
    586.89x = 884.66 × 537.59
  4. Step 4: Simplify right side
    586.89x = 475,583.89
  5. Step 5: Solve for x
    x = 475,583.89/586.89
  6. Step 6: Final answer
    x = 810.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.