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Finding the Fourth Proportional to 1,054.94, 1,584.22 and 969.48

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Solution

The fourth proportional to 1,054.94, 1,584.22 and 969.48 is: 1,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.94 : 1,584.22 = 969.48 : x
  2. Step 2: Convert to fraction form
    1,054.94/1,584.22 = 969.48/x
  3. Step 3: Cross multiply
    1,054.94x = 1,584.22 × 969.48
  4. Step 4: Simplify right side
    1,054.94x = 1,535,869.61
  5. Step 5: Solve for x
    x = 1,535,869.61/1,054.94
  6. Step 6: Final answer
    x = 1,455.88

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Why These Related Problems?

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