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Finding the Fourth Proportional to 734.02, 1,012.89 and 709.14

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Solution

The fourth proportional to 734.02, 1,012.89 and 709.14 is: 978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.02 : 1,012.89 = 709.14 : x
  2. Step 2: Convert to fraction form
    734.02/1,012.89 = 709.14/x
  3. Step 3: Cross multiply
    734.02x = 1,012.89 × 709.14
  4. Step 4: Simplify right side
    734.02x = 718,280.81
  5. Step 5: Solve for x
    x = 718,280.81/734.02
  6. Step 6: Final answer
    x = 978.56

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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.