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Finding the Fourth Proportional to 779.45, 1,075.66 and 425.38

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Solution

The fourth proportional to 779.45, 1,075.66 and 425.38 is: 587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.45 : 1,075.66 = 425.38 : x
  2. Step 2: Convert to fraction form
    779.45/1,075.66 = 425.38/x
  3. Step 3: Cross multiply
    779.45x = 1,075.66 × 425.38
  4. Step 4: Simplify right side
    779.45x = 457,564.25
  5. Step 5: Solve for x
    x = 457,564.25/779.45
  6. Step 6: Final answer
    x = 587.03

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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.