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Finding the Fourth Proportional to 734.52, 1,102.14 and 503.76

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Solution

The fourth proportional to 734.52, 1,102.14 and 503.76 is: 755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.52 : 1,102.14 = 503.76 : x
  2. Step 2: Convert to fraction form
    734.52/1,102.14 = 503.76/x
  3. Step 3: Cross multiply
    734.52x = 1,102.14 × 503.76
  4. Step 4: Simplify right side
    734.52x = 555,214.05
  5. Step 5: Solve for x
    x = 555,214.05/734.52
  6. Step 6: Final answer
    x = 755.89

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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.