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Finding the Fourth Proportional to 1,494.33, 2,239.95 and 569.64

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Solution

The fourth proportional to 1,494.33, 2,239.95 and 569.64 is: 853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.33 : 2,239.95 = 569.64 : x
  2. Step 2: Convert to fraction form
    1,494.33/2,239.95 = 569.64/x
  3. Step 3: Cross multiply
    1,494.33x = 2,239.95 × 569.64
  4. Step 4: Simplify right side
    1,494.33x = 1,275,963.03
  5. Step 5: Solve for x
    x = 1,275,963.03/1,494.33
  6. Step 6: Final answer
    x = 853.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.