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Finding the Fourth Proportional to 1,084.66, 1,496.78 and 612.53

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Solution

The fourth proportional to 1,084.66, 1,496.78 and 612.53 is: 845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.66 : 1,496.78 = 612.53 : x
  2. Step 2: Convert to fraction form
    1,084.66/1,496.78 = 612.53/x
  3. Step 3: Cross multiply
    1,084.66x = 1,496.78 × 612.53
  4. Step 4: Simplify right side
    1,084.66x = 916,820.02
  5. Step 5: Solve for x
    x = 916,820.02/1,084.66
  6. Step 6: Final answer
    x = 845.26

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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.