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Finding the Fourth Proportional to 1,178.16, 1,626.18 and 785.04

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Solution

The fourth proportional to 1,178.16, 1,626.18 and 785.04 is: 1,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.16 : 1,626.18 = 785.04 : x
  2. Step 2: Convert to fraction form
    1,178.16/1,626.18 = 785.04/x
  3. Step 3: Cross multiply
    1,178.16x = 1,626.18 × 785.04
  4. Step 4: Simplify right side
    1,178.16x = 1,276,616.35
  5. Step 5: Solve for x
    x = 1,276,616.35/1,178.16
  6. Step 6: Final answer
    x = 1,083.57

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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.