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Finding the Fourth Proportional to 1,146.93, 1,720.74 and 951.04

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Solution

The fourth proportional to 1,146.93, 1,720.74 and 951.04 is: 1,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.93 : 1,720.74 = 951.04 : x
  2. Step 2: Convert to fraction form
    1,146.93/1,720.74 = 951.04/x
  3. Step 3: Cross multiply
    1,146.93x = 1,720.74 × 951.04
  4. Step 4: Simplify right side
    1,146.93x = 1,636,492.57
  5. Step 5: Solve for x
    x = 1,636,492.57/1,146.93
  6. Step 6: Final answer
    x = 1,426.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.