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Finding the Fourth Proportional to 607.88, 912.86 and 538.63

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Solution

The fourth proportional to 607.88, 912.86 and 538.63 is: 808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.88 : 912.86 = 538.63 : x
  2. Step 2: Convert to fraction form
    607.88/912.86 = 538.63/x
  3. Step 3: Cross multiply
    607.88x = 912.86 × 538.63
  4. Step 4: Simplify right side
    607.88x = 491,693.78
  5. Step 5: Solve for x
    x = 491,693.78/607.88
  6. Step 6: Final answer
    x = 808.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.