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Finding the Fourth Proportional to 779.32, 1,073.91 and 582.49

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Solution

The fourth proportional to 779.32, 1,073.91 and 582.49 is: 802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.32 : 1,073.91 = 582.49 : x
  2. Step 2: Convert to fraction form
    779.32/1,073.91 = 582.49/x
  3. Step 3: Cross multiply
    779.32x = 1,073.91 × 582.49
  4. Step 4: Simplify right side
    779.32x = 625,541.84
  5. Step 5: Solve for x
    x = 625,541.84/779.32
  6. Step 6: Final answer
    x = 802.68

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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.