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Finding the Fourth Proportional to 1,009.25, 1,392.69 and 561.07

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Solution

The fourth proportional to 1,009.25, 1,392.69 and 561.07 is: 774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.25 : 1,392.69 = 561.07 : x
  2. Step 2: Convert to fraction form
    1,009.25/1,392.69 = 561.07/x
  3. Step 3: Cross multiply
    1,009.25x = 1,392.69 × 561.07
  4. Step 4: Simplify right side
    1,009.25x = 781,396.58
  5. Step 5: Solve for x
    x = 781,396.58/1,009.25
  6. Step 6: Final answer
    x = 774.23

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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.