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Finding the Fourth Proportional to 734.92, 1,014.36 and 499.25

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Solution

The fourth proportional to 734.92, 1,014.36 and 499.25 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.92 : 1,014.36 = 499.25 : x
  2. Step 2: Convert to fraction form
    734.92/1,014.36 = 499.25/x
  3. Step 3: Cross multiply
    734.92x = 1,014.36 × 499.25
  4. Step 4: Simplify right side
    734.92x = 506,421.77
  5. Step 5: Solve for x
    x = 506,421.77/734.92
  6. Step 6: Final answer
    x = 689.09

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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.