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Finding the Fourth Proportional to 775.31, 1,154.66 and 761.67

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Solution

The fourth proportional to 775.31, 1,154.66 and 761.67 is: 1,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,154.66 = 761.67 : x
  2. Step 2: Convert to fraction form
    775.31/1,154.66 = 761.67/x
  3. Step 3: Cross multiply
    775.31x = 1,154.66 × 761.67
  4. Step 4: Simplify right side
    775.31x = 879,466.07
  5. Step 5: Solve for x
    x = 879,466.07/775.31
  6. Step 6: Final answer
    x = 1,134.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.