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Finding the Fourth Proportional to 1,054.64, 1,454.81 and 834.18

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Solution

The fourth proportional to 1,054.64, 1,454.81 and 834.18 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.64 : 1,454.81 = 834.18 : x
  2. Step 2: Convert to fraction form
    1,054.64/1,454.81 = 834.18/x
  3. Step 3: Cross multiply
    1,054.64x = 1,454.81 × 834.18
  4. Step 4: Simplify right side
    1,054.64x = 1,213,569.23
  5. Step 5: Solve for x
    x = 1,213,569.23/1,054.64
  6. Step 6: Final answer
    x = 1,150.70

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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.