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Finding the Fourth Proportional to 586.12, 806.47 and 537.52

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Solution

The fourth proportional to 586.12, 806.47 and 537.52 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.12 : 806.47 = 537.52 : x
  2. Step 2: Convert to fraction form
    586.12/806.47 = 537.52/x
  3. Step 3: Cross multiply
    586.12x = 806.47 × 537.52
  4. Step 4: Simplify right side
    586.12x = 433,493.75
  5. Step 5: Solve for x
    x = 433,493.75/586.12
  6. Step 6: Final answer
    x = 739.60

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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.