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Finding the Fourth Proportional to 652.59, 899.91 and 569.43

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Solution

The fourth proportional to 652.59, 899.91 and 569.43 is: 785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 899.91 = 569.43 : x
  2. Step 2: Convert to fraction form
    652.59/899.91 = 569.43/x
  3. Step 3: Cross multiply
    652.59x = 899.91 × 569.43
  4. Step 4: Simplify right side
    652.59x = 512,435.75
  5. Step 5: Solve for x
    x = 512,435.75/652.59
  6. Step 6: Final answer
    x = 785.23

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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.