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Finding the Fourth Proportional to 1,081.04, 1,492.44 and 917.03

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Solution

The fourth proportional to 1,081.04, 1,492.44 and 917.03 is: 1,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.04 : 1,492.44 = 917.03 : x
  2. Step 2: Convert to fraction form
    1,081.04/1,492.44 = 917.03/x
  3. Step 3: Cross multiply
    1,081.04x = 1,492.44 × 917.03
  4. Step 4: Simplify right side
    1,081.04x = 1,368,612.25
  5. Step 5: Solve for x
    x = 1,368,612.25/1,081.04
  6. Step 6: Final answer
    x = 1,266.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.