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Finding the Fourth Proportional to 779.69, 1,075.99 and 465.02

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Solution

The fourth proportional to 779.69, 1,075.99 and 465.02 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.69 : 1,075.99 = 465.02 : x
  2. Step 2: Convert to fraction form
    779.69/1,075.99 = 465.02/x
  3. Step 3: Cross multiply
    779.69x = 1,075.99 × 465.02
  4. Step 4: Simplify right side
    779.69x = 500,351.49
  5. Step 5: Solve for x
    x = 500,351.49/779.69
  6. Step 6: Final answer
    x = 641.73

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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.