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Finding the Fourth Proportional to 1,134.35, 1,701.46 and 393.93

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Solution

The fourth proportional to 1,134.35, 1,701.46 and 393.93 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.35 : 1,701.46 = 393.93 : x
  2. Step 2: Convert to fraction form
    1,134.35/1,701.46 = 393.93/x
  3. Step 3: Cross multiply
    1,134.35x = 1,701.46 × 393.93
  4. Step 4: Simplify right side
    1,134.35x = 670,247.24
  5. Step 5: Solve for x
    x = 670,247.24/1,134.35
  6. Step 6: Final answer
    x = 590.86

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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.