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Finding the Fourth Proportional to 1,167.23, 1,749.86 and 474.38

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Solution

The fourth proportional to 1,167.23, 1,749.86 and 474.38 is: 711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.23 : 1,749.86 = 474.38 : x
  2. Step 2: Convert to fraction form
    1,167.23/1,749.86 = 474.38/x
  3. Step 3: Cross multiply
    1,167.23x = 1,749.86 × 474.38
  4. Step 4: Simplify right side
    1,167.23x = 830,096.21
  5. Step 5: Solve for x
    x = 830,096.21/1,167.23
  6. Step 6: Final answer
    x = 711.17

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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.