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Finding the Fourth Proportional to 779.51, 1,075.73 and 448.02

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Solution

The fourth proportional to 779.51, 1,075.73 and 448.02 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.51 : 1,075.73 = 448.02 : x
  2. Step 2: Convert to fraction form
    779.51/1,075.73 = 448.02/x
  3. Step 3: Cross multiply
    779.51x = 1,075.73 × 448.02
  4. Step 4: Simplify right side
    779.51x = 481,946.31
  5. Step 5: Solve for x
    x = 481,946.31/779.51
  6. Step 6: Final answer
    x = 618.27

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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.