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Finding the Fourth Proportional to 703.26, 1,053.54 and 337.59

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Solution

The fourth proportional to 703.26, 1,053.54 and 337.59 is: 505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.26 : 1,053.54 = 337.59 : x
  2. Step 2: Convert to fraction form
    703.26/1,053.54 = 337.59/x
  3. Step 3: Cross multiply
    703.26x = 1,053.54 × 337.59
  4. Step 4: Simplify right side
    703.26x = 355,664.57
  5. Step 5: Solve for x
    x = 355,664.57/703.26
  6. Step 6: Final answer
    x = 505.74

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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.