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Finding the Fourth Proportional to 585.87, 802.77 and 580.47

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Solution

The fourth proportional to 585.87, 802.77 and 580.47 is: 795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.87 : 802.77 = 580.47 : x
  2. Step 2: Convert to fraction form
    585.87/802.77 = 580.47/x
  3. Step 3: Cross multiply
    585.87x = 802.77 × 580.47
  4. Step 4: Simplify right side
    585.87x = 465,983.90
  5. Step 5: Solve for x
    x = 465,983.90/585.87
  6. Step 6: Final answer
    x = 795.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.