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Finding the Fourth Proportional to 779.01, 1,074.14 and 582.19

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Solution

The fourth proportional to 779.01, 1,074.14 and 582.19 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.01 : 1,074.14 = 582.19 : x
  2. Step 2: Convert to fraction form
    779.01/1,074.14 = 582.19/x
  3. Step 3: Cross multiply
    779.01x = 1,074.14 × 582.19
  4. Step 4: Simplify right side
    779.01x = 625,353.57
  5. Step 5: Solve for x
    x = 625,353.57/779.01
  6. Step 6: Final answer
    x = 802.75

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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.