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Finding the Fourth Proportional to 870.86, 1,201.83 and 539.46

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Solution

The fourth proportional to 870.86, 1,201.83 and 539.46 is: 744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.86 : 1,201.83 = 539.46 : x
  2. Step 2: Convert to fraction form
    870.86/1,201.83 = 539.46/x
  3. Step 3: Cross multiply
    870.86x = 1,201.83 × 539.46
  4. Step 4: Simplify right side
    870.86x = 648,339.21
  5. Step 5: Solve for x
    x = 648,339.21/870.86
  6. Step 6: Final answer
    x = 744.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.