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Finding the Fourth Proportional to 779.42, 1,075.61 and 464.70

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Solution

The fourth proportional to 779.42, 1,075.61 and 464.70 is: 641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,075.61 = 464.70 : x
  2. Step 2: Convert to fraction form
    779.42/1,075.61 = 464.70/x
  3. Step 3: Cross multiply
    779.42x = 1,075.61 × 464.70
  4. Step 4: Simplify right side
    779.42x = 499,841.16
  5. Step 5: Solve for x
    x = 499,841.16/779.42
  6. Step 6: Final answer
    x = 641.30

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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.