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Finding the Fourth Proportional to 652.82, 902.15 and 580.82

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Solution

The fourth proportional to 652.82, 902.15 and 580.82 is: 802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 902.15 = 580.82 : x
  2. Step 2: Convert to fraction form
    652.82/902.15 = 580.82/x
  3. Step 3: Cross multiply
    652.82x = 902.15 × 580.82
  4. Step 4: Simplify right side
    652.82x = 523,986.76
  5. Step 5: Solve for x
    x = 523,986.76/652.82
  6. Step 6: Final answer
    x = 802.65

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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.