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Finding the Fourth Proportional to 749.05, 1,123.57 and 595.05

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Solution

The fourth proportional to 749.05, 1,123.57 and 595.05 is: 892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.05 : 1,123.57 = 595.05 : x
  2. Step 2: Convert to fraction form
    749.05/1,123.57 = 595.05/x
  3. Step 3: Cross multiply
    749.05x = 1,123.57 × 595.05
  4. Step 4: Simplify right side
    749.05x = 668,576.86
  5. Step 5: Solve for x
    x = 668,576.86/749.05
  6. Step 6: Final answer
    x = 892.57

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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.