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Finding the Fourth Proportional to 1,084.10, 1,492.62 and 917.96

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Solution

The fourth proportional to 1,084.10, 1,492.62 and 917.96 is: 1,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.10 : 1,492.62 = 917.96 : x
  2. Step 2: Convert to fraction form
    1,084.10/1,492.62 = 917.96/x
  3. Step 3: Cross multiply
    1,084.10x = 1,492.62 × 917.96
  4. Step 4: Simplify right side
    1,084.10x = 1,370,165.46
  5. Step 5: Solve for x
    x = 1,370,165.46/1,084.10
  6. Step 6: Final answer
    x = 1,263.87

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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.