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Finding the Fourth Proportional to 1,084.58, 1,496.60 and 612.50

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Solution

The fourth proportional to 1,084.58, 1,496.60 and 612.50 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.58 : 1,496.60 = 612.50 : x
  2. Step 2: Convert to fraction form
    1,084.58/1,496.60 = 612.50/x
  3. Step 3: Cross multiply
    1,084.58x = 1,496.60 × 612.50
  4. Step 4: Simplify right side
    1,084.58x = 916,656.95
  5. Step 5: Solve for x
    x = 916,656.95/1,084.58
  6. Step 6: Final answer
    x = 845.18

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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.