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Finding the Fourth Proportional to 835.19, 1,153.08 and 536.55

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Solution

The fourth proportional to 835.19, 1,153.08 and 536.55 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.19 : 1,153.08 = 536.55 : x
  2. Step 2: Convert to fraction form
    835.19/1,153.08 = 536.55/x
  3. Step 3: Cross multiply
    835.19x = 1,153.08 × 536.55
  4. Step 4: Simplify right side
    835.19x = 618,686.23
  5. Step 5: Solve for x
    x = 618,686.23/835.19
  6. Step 6: Final answer
    x = 740.78

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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.