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Finding the Fourth Proportional to 779.54, 1,075.89 and 464.82

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Solution

The fourth proportional to 779.54, 1,075.89 and 464.82 is: 641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.54 : 1,075.89 = 464.82 : x
  2. Step 2: Convert to fraction form
    779.54/1,075.89 = 464.82/x
  3. Step 3: Cross multiply
    779.54x = 1,075.89 × 464.82
  4. Step 4: Simplify right side
    779.54x = 500,095.19
  5. Step 5: Solve for x
    x = 500,095.19/779.54
  6. Step 6: Final answer
    x = 641.53

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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.