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Finding the Fourth Proportional to 749.77, 1,123.08 and 475.72

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Solution

The fourth proportional to 749.77, 1,123.08 and 475.72 is: 712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.77 : 1,123.08 = 475.72 : x
  2. Step 2: Convert to fraction form
    749.77/1,123.08 = 475.72/x
  3. Step 3: Cross multiply
    749.77x = 1,123.08 × 475.72
  4. Step 4: Simplify right side
    749.77x = 534,271.62
  5. Step 5: Solve for x
    x = 534,271.62/749.77
  6. Step 6: Final answer
    x = 712.58

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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.