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Finding the Fourth Proportional to 779.20, 1,075.28 and 468.80

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Solution

The fourth proportional to 779.20, 1,075.28 and 468.80 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,075.28 = 468.80 : x
  2. Step 2: Convert to fraction form
    779.20/1,075.28 = 468.80/x
  3. Step 3: Cross multiply
    779.20x = 1,075.28 × 468.80
  4. Step 4: Simplify right side
    779.20x = 504,091.26
  5. Step 5: Solve for x
    x = 504,091.26/779.20
  6. Step 6: Final answer
    x = 646.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.