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Finding the Fourth Proportional to 764.56, 1,147.52 and 503.83

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Solution

The fourth proportional to 764.56, 1,147.52 and 503.83 is: 756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,147.52 = 503.83 : x
  2. Step 2: Convert to fraction form
    764.56/1,147.52 = 503.83/x
  3. Step 3: Cross multiply
    764.56x = 1,147.52 × 503.83
  4. Step 4: Simplify right side
    764.56x = 578,155.00
  5. Step 5: Solve for x
    x = 578,155.00/764.56
  6. Step 6: Final answer
    x = 756.19

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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.