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Finding the Fourth Proportional to 962.55, 1,436.86 and 845.78

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Solution

The fourth proportional to 962.55, 1,436.86 and 845.78 is: 1,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.55 : 1,436.86 = 845.78 : x
  2. Step 2: Convert to fraction form
    962.55/1,436.86 = 845.78/x
  3. Step 3: Cross multiply
    962.55x = 1,436.86 × 845.78
  4. Step 4: Simplify right side
    962.55x = 1,215,261.01
  5. Step 5: Solve for x
    x = 1,215,261.01/962.55
  6. Step 6: Final answer
    x = 1,262.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.