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Finding the Fourth Proportional to 640.70, 882.25 and 569.77

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Solution

The fourth proportional to 640.70, 882.25 and 569.77 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.70 : 882.25 = 569.77 : x
  2. Step 2: Convert to fraction form
    640.70/882.25 = 569.77/x
  3. Step 3: Cross multiply
    640.70x = 882.25 × 569.77
  4. Step 4: Simplify right side
    640.70x = 502,679.58
  5. Step 5: Solve for x
    x = 502,679.58/640.70
  6. Step 6: Final answer
    x = 784.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.