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Finding the Fourth Proportional to 734.90, 1,102.84 and 503.68

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Solution

The fourth proportional to 734.90, 1,102.84 and 503.68 is: 755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.90 : 1,102.84 = 503.68 : x
  2. Step 2: Convert to fraction form
    734.90/1,102.84 = 503.68/x
  3. Step 3: Cross multiply
    734.90x = 1,102.84 × 503.68
  4. Step 4: Simplify right side
    734.90x = 555,478.45
  5. Step 5: Solve for x
    x = 555,478.45/734.90
  6. Step 6: Final answer
    x = 755.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.