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Finding the Fourth Proportional to 749.55, 1,121.76 and 475.77

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Solution

The fourth proportional to 749.55, 1,121.76 and 475.77 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.55 : 1,121.76 = 475.77 : x
  2. Step 2: Convert to fraction form
    749.55/1,121.76 = 475.77/x
  3. Step 3: Cross multiply
    749.55x = 1,121.76 × 475.77
  4. Step 4: Simplify right side
    749.55x = 533,699.76
  5. Step 5: Solve for x
    x = 533,699.76/749.55
  6. Step 6: Final answer
    x = 712.03

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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.