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Finding the Fourth Proportional to 779.54, 1,075.41 and 531.09

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Solution

The fourth proportional to 779.54, 1,075.41 and 531.09 is: 732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.54 : 1,075.41 = 531.09 : x
  2. Step 2: Convert to fraction form
    779.54/1,075.41 = 531.09/x
  3. Step 3: Cross multiply
    779.54x = 1,075.41 × 531.09
  4. Step 4: Simplify right side
    779.54x = 571,139.50
  5. Step 5: Solve for x
    x = 571,139.50/779.54
  6. Step 6: Final answer
    x = 732.67

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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.