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Finding the Fourth Proportional to 756.66, 1,044.33 and 569.88

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Solution

The fourth proportional to 756.66, 1,044.33 and 569.88 is: 786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.66 : 1,044.33 = 569.88 : x
  2. Step 2: Convert to fraction form
    756.66/1,044.33 = 569.88/x
  3. Step 3: Cross multiply
    756.66x = 1,044.33 × 569.88
  4. Step 4: Simplify right side
    756.66x = 595,142.78
  5. Step 5: Solve for x
    x = 595,142.78/756.66
  6. Step 6: Final answer
    x = 786.54

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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.