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Finding the Fourth Proportional to 779.59, 1,075.68 and 448.12

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Solution

The fourth proportional to 779.59, 1,075.68 and 448.12 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.59 : 1,075.68 = 448.12 : x
  2. Step 2: Convert to fraction form
    779.59/1,075.68 = 448.12/x
  3. Step 3: Cross multiply
    779.59x = 1,075.68 × 448.12
  4. Step 4: Simplify right side
    779.59x = 482,033.72
  5. Step 5: Solve for x
    x = 482,033.72/779.59
  6. Step 6: Final answer
    x = 618.32

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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.