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Finding the Fourth Proportional to 779.57, 1,075.89 and 582.74

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Solution

The fourth proportional to 779.57, 1,075.89 and 582.74 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.57 : 1,075.89 = 582.74 : x
  2. Step 2: Convert to fraction form
    779.57/1,075.89 = 582.74/x
  3. Step 3: Cross multiply
    779.57x = 1,075.89 × 582.74
  4. Step 4: Simplify right side
    779.57x = 626,964.14
  5. Step 5: Solve for x
    x = 626,964.14/779.57
  6. Step 6: Final answer
    x = 804.24

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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.