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Finding the Fourth Proportional to 607.86, 906.71 and 593.46

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Solution

The fourth proportional to 607.86, 906.71 and 593.46 is: 885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.86 : 906.71 = 593.46 : x
  2. Step 2: Convert to fraction form
    607.86/906.71 = 593.46/x
  3. Step 3: Cross multiply
    607.86x = 906.71 × 593.46
  4. Step 4: Simplify right side
    607.86x = 538,093.15
  5. Step 5: Solve for x
    x = 538,093.15/607.86
  6. Step 6: Final answer
    x = 885.23

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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.