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Finding the Fourth Proportional to 1,133.31, 1,700.42 and 402.96

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Solution

The fourth proportional to 1,133.31, 1,700.42 and 402.96 is: 604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.31 : 1,700.42 = 402.96 : x
  2. Step 2: Convert to fraction form
    1,133.31/1,700.42 = 402.96/x
  3. Step 3: Cross multiply
    1,133.31x = 1,700.42 × 402.96
  4. Step 4: Simplify right side
    1,133.31x = 685,199.23
  5. Step 5: Solve for x
    x = 685,199.23/1,133.31
  6. Step 6: Final answer
    x = 604.60

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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.