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Finding the Fourth Proportional to 1,009.23, 1,392.36 and 772.93

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Solution

The fourth proportional to 1,009.23, 1,392.36 and 772.93 is: 1,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.23 : 1,392.36 = 772.93 : x
  2. Step 2: Convert to fraction form
    1,009.23/1,392.36 = 772.93/x
  3. Step 3: Cross multiply
    1,009.23x = 1,392.36 × 772.93
  4. Step 4: Simplify right side
    1,009.23x = 1,076,195.66
  5. Step 5: Solve for x
    x = 1,076,195.66/1,009.23
  6. Step 6: Final answer
    x = 1,066.36

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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.