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Finding the Fourth Proportional to 1,054.59, 1,454.94 and 634.79

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Solution

The fourth proportional to 1,054.59, 1,454.94 and 634.79 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.59 : 1,454.94 = 634.79 : x
  2. Step 2: Convert to fraction form
    1,054.59/1,454.94 = 634.79/x
  3. Step 3: Cross multiply
    1,054.59x = 1,454.94 × 634.79
  4. Step 4: Simplify right side
    1,054.59x = 923,574.09
  5. Step 5: Solve for x
    x = 923,574.09/1,054.59
  6. Step 6: Final answer
    x = 875.77

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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.