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Finding the Fourth Proportional to 569.47, 853.01 and 562.99

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Solution

The fourth proportional to 569.47, 853.01 and 562.99 is: 843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.47 : 853.01 = 562.99 : x
  2. Step 2: Convert to fraction form
    569.47/853.01 = 562.99/x
  3. Step 3: Cross multiply
    569.47x = 853.01 × 562.99
  4. Step 4: Simplify right side
    569.47x = 480,233.28
  5. Step 5: Solve for x
    x = 480,233.28/569.47
  6. Step 6: Final answer
    x = 843.30

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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.