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Finding the Fourth Proportional to 1,071.93, 1,607.91 and 331.55

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Solution

The fourth proportional to 1,071.93, 1,607.91 and 331.55 is: 497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.93 : 1,607.91 = 331.55 : x
  2. Step 2: Convert to fraction form
    1,071.93/1,607.91 = 331.55/x
  3. Step 3: Cross multiply
    1,071.93x = 1,607.91 × 331.55
  4. Step 4: Simplify right side
    1,071.93x = 533,099.31
  5. Step 5: Solve for x
    x = 533,099.31/1,071.93
  6. Step 6: Final answer
    x = 497.32

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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.