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Finding the Fourth Proportional to 1,008.76, 1,392.09 and 566.66

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Solution

The fourth proportional to 1,008.76, 1,392.09 and 566.66 is: 781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.76 : 1,392.09 = 566.66 : x
  2. Step 2: Convert to fraction form
    1,008.76/1,392.09 = 566.66/x
  3. Step 3: Cross multiply
    1,008.76x = 1,392.09 × 566.66
  4. Step 4: Simplify right side
    1,008.76x = 788,838.89
  5. Step 5: Solve for x
    x = 788,838.89/1,008.76
  6. Step 6: Final answer
    x = 781.99

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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.