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Finding the Fourth Proportional to 779.42, 1,075.54 and 464.67

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Solution

The fourth proportional to 779.42, 1,075.54 and 464.67 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,075.54 = 464.67 : x
  2. Step 2: Convert to fraction form
    779.42/1,075.54 = 464.67/x
  3. Step 3: Cross multiply
    779.42x = 1,075.54 × 464.67
  4. Step 4: Simplify right side
    779.42x = 499,771.17
  5. Step 5: Solve for x
    x = 499,771.17/779.42
  6. Step 6: Final answer
    x = 641.21

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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.