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Finding the Fourth Proportional to 734.92, 1,102.31 and 460.18

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Solution

The fourth proportional to 734.92, 1,102.31 and 460.18 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.92 : 1,102.31 = 460.18 : x
  2. Step 2: Convert to fraction form
    734.92/1,102.31 = 460.18/x
  3. Step 3: Cross multiply
    734.92x = 1,102.31 × 460.18
  4. Step 4: Simplify right side
    734.92x = 507,261.82
  5. Step 5: Solve for x
    x = 507,261.82/734.92
  6. Step 6: Final answer
    x = 690.22

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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.