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Finding the Fourth Proportional to 1,133.34, 1,700.05 and 311.61

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Solution

The fourth proportional to 1,133.34, 1,700.05 and 311.61 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.34 : 1,700.05 = 311.61 : x
  2. Step 2: Convert to fraction form
    1,133.34/1,700.05 = 311.61/x
  3. Step 3: Cross multiply
    1,133.34x = 1,700.05 × 311.61
  4. Step 4: Simplify right side
    1,133.34x = 529,751.02
  5. Step 5: Solve for x
    x = 529,751.02/1,133.34
  6. Step 6: Final answer
    x = 467.43

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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.