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Finding the Fourth Proportional to 734.74, 1,014.40 and 486.48

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Solution

The fourth proportional to 734.74, 1,014.40 and 486.48 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,014.40 = 486.48 : x
  2. Step 2: Convert to fraction form
    734.74/1,014.40 = 486.48/x
  3. Step 3: Cross multiply
    734.74x = 1,014.40 × 486.48
  4. Step 4: Simplify right side
    734.74x = 493,485.31
  5. Step 5: Solve for x
    x = 493,485.31/734.74
  6. Step 6: Final answer
    x = 671.65

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