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Finding the Fourth Proportional to 703.86, 1,053.99 and 487.86

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Solution

The fourth proportional to 703.86, 1,053.99 and 487.86 is: 730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 1,053.99 = 487.86 : x
  2. Step 2: Convert to fraction form
    703.86/1,053.99 = 487.86/x
  3. Step 3: Cross multiply
    703.86x = 1,053.99 × 487.86
  4. Step 4: Simplify right side
    703.86x = 514,199.56
  5. Step 5: Solve for x
    x = 514,199.56/703.86
  6. Step 6: Final answer
    x = 730.54

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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.