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Finding the Fourth Proportional to 734.81, 1,014.51 and 486.54

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Solution

The fourth proportional to 734.81, 1,014.51 and 486.54 is: 671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,014.51 = 486.54 : x
  2. Step 2: Convert to fraction form
    734.81/1,014.51 = 486.54/x
  3. Step 3: Cross multiply
    734.81x = 1,014.51 × 486.54
  4. Step 4: Simplify right side
    734.81x = 493,599.70
  5. Step 5: Solve for x
    x = 493,599.70/734.81
  6. Step 6: Final answer
    x = 671.74

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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.