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Finding the Fourth Proportional to 1,077.17, 1,486.49 and 684.19

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Solution

The fourth proportional to 1,077.17, 1,486.49 and 684.19 is: 944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.17 : 1,486.49 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,077.17/1,486.49 = 684.19/x
  3. Step 3: Cross multiply
    1,077.17x = 1,486.49 × 684.19
  4. Step 4: Simplify right side
    1,077.17x = 1,017,034.46
  5. Step 5: Solve for x
    x = 1,017,034.46/1,077.17
  6. Step 6: Final answer
    x = 944.18

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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.