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Finding the Fourth Proportional to 950.56, 1,312.01 and 552.14

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Solution

The fourth proportional to 950.56, 1,312.01 and 552.14 is: 762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.56 : 1,312.01 = 552.14 : x
  2. Step 2: Convert to fraction form
    950.56/1,312.01 = 552.14/x
  3. Step 3: Cross multiply
    950.56x = 1,312.01 × 552.14
  4. Step 4: Simplify right side
    950.56x = 724,413.20
  5. Step 5: Solve for x
    x = 724,413.20/950.56
  6. Step 6: Final answer
    x = 762.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.