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Finding the Fourth Proportional to 835.47, 1,152.86 and 536.18

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Solution

The fourth proportional to 835.47, 1,152.86 and 536.18 is: 739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,152.86 = 536.18 : x
  2. Step 2: Convert to fraction form
    835.47/1,152.86 = 536.18/x
  3. Step 3: Cross multiply
    835.47x = 1,152.86 × 536.18
  4. Step 4: Simplify right side
    835.47x = 618,132.03
  5. Step 5: Solve for x
    x = 618,132.03/835.47
  6. Step 6: Final answer
    x = 739.86

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