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Finding the Fourth Proportional to 764.11, 1,145.76 and 470.89

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Solution

The fourth proportional to 764.11, 1,145.76 and 470.89 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.11 : 1,145.76 = 470.89 : x
  2. Step 2: Convert to fraction form
    764.11/1,145.76 = 470.89/x
  3. Step 3: Cross multiply
    764.11x = 1,145.76 × 470.89
  4. Step 4: Simplify right side
    764.11x = 539,526.93
  5. Step 5: Solve for x
    x = 539,526.93/764.11
  6. Step 6: Final answer
    x = 706.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.