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Finding the Fourth Proportional to 761.85, 1,050.84 and 466.74

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Solution

The fourth proportional to 761.85, 1,050.84 and 466.74 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.85 : 1,050.84 = 466.74 : x
  2. Step 2: Convert to fraction form
    761.85/1,050.84 = 466.74/x
  3. Step 3: Cross multiply
    761.85x = 1,050.84 × 466.74
  4. Step 4: Simplify right side
    761.85x = 490,469.06
  5. Step 5: Solve for x
    x = 490,469.06/761.85
  6. Step 6: Final answer
    x = 643.79

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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.