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Finding the Fourth Proportional to 1,133.67, 1,700.31 and 403.14

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Solution

The fourth proportional to 1,133.67, 1,700.31 and 403.14 is: 604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.67 : 1,700.31 = 403.14 : x
  2. Step 2: Convert to fraction form
    1,133.67/1,700.31 = 403.14/x
  3. Step 3: Cross multiply
    1,133.67x = 1,700.31 × 403.14
  4. Step 4: Simplify right side
    1,133.67x = 685,462.97
  5. Step 5: Solve for x
    x = 685,462.97/1,133.67
  6. Step 6: Final answer
    x = 604.64

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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.