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Finding the Fourth Proportional to 956.76, 1,433.38 and 610.14

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Solution

The fourth proportional to 956.76, 1,433.38 and 610.14 is: 914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.76 : 1,433.38 = 610.14 : x
  2. Step 2: Convert to fraction form
    956.76/1,433.38 = 610.14/x
  3. Step 3: Cross multiply
    956.76x = 1,433.38 × 610.14
  4. Step 4: Simplify right side
    956.76x = 874,562.47
  5. Step 5: Solve for x
    x = 874,562.47/956.76
  6. Step 6: Final answer
    x = 914.09

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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.