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Finding the Fourth Proportional to 1,071.77, 1,607.75 and 422.35

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Solution

The fourth proportional to 1,071.77, 1,607.75 and 422.35 is: 633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.77 : 1,607.75 = 422.35 : x
  2. Step 2: Convert to fraction form
    1,071.77/1,607.75 = 422.35/x
  3. Step 3: Cross multiply
    1,071.77x = 1,607.75 × 422.35
  4. Step 4: Simplify right side
    1,071.77x = 679,033.21
  5. Step 5: Solve for x
    x = 679,033.21/1,071.77
  6. Step 6: Final answer
    x = 633.56

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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.