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Finding the Fourth Proportional to 652.34, 899.98 and 569.45

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Solution

The fourth proportional to 652.34, 899.98 and 569.45 is: 785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 899.98 = 569.45 : x
  2. Step 2: Convert to fraction form
    652.34/899.98 = 569.45/x
  3. Step 3: Cross multiply
    652.34x = 899.98 × 569.45
  4. Step 4: Simplify right side
    652.34x = 512,494.44
  5. Step 5: Solve for x
    x = 512,494.44/652.34
  6. Step 6: Final answer
    x = 785.62

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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.