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Finding the Fourth Proportional to 1,009.23, 1,392.80 and 567.14

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Solution

The fourth proportional to 1,009.23, 1,392.80 and 567.14 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.23 : 1,392.80 = 567.14 : x
  2. Step 2: Convert to fraction form
    1,009.23/1,392.80 = 567.14/x
  3. Step 3: Cross multiply
    1,009.23x = 1,392.80 × 567.14
  4. Step 4: Simplify right side
    1,009.23x = 789,902.79
  5. Step 5: Solve for x
    x = 789,902.79/1,009.23
  6. Step 6: Final answer
    x = 782.68

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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.