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Finding the Fourth Proportional to 1,605.26, 2,407.62 and 631.38

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Solution

The fourth proportional to 1,605.26, 2,407.62 and 631.38 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.26 : 2,407.62 = 631.38 : x
  2. Step 2: Convert to fraction form
    1,605.26/2,407.62 = 631.38/x
  3. Step 3: Cross multiply
    1,605.26x = 2,407.62 × 631.38
  4. Step 4: Simplify right side
    1,605.26x = 1,520,123.12
  5. Step 5: Solve for x
    x = 1,520,123.12/1,605.26
  6. Step 6: Final answer
    x = 946.96

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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.