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Finding the Fourth Proportional to 764.01, 1,145.85 and 373.61

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Solution

The fourth proportional to 764.01, 1,145.85 and 373.61 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.01 : 1,145.85 = 373.61 : x
  2. Step 2: Convert to fraction form
    764.01/1,145.85 = 373.61/x
  3. Step 3: Cross multiply
    764.01x = 1,145.85 × 373.61
  4. Step 4: Simplify right side
    764.01x = 428,095.29
  5. Step 5: Solve for x
    x = 428,095.29/764.01
  6. Step 6: Final answer
    x = 560.33

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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.