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Finding the Fourth Proportional to 751.82, 1,037.94 and 503.56

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Solution

The fourth proportional to 751.82, 1,037.94 and 503.56 is: 695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.82 : 1,037.94 = 503.56 : x
  2. Step 2: Convert to fraction form
    751.82/1,037.94 = 503.56/x
  3. Step 3: Cross multiply
    751.82x = 1,037.94 × 503.56
  4. Step 4: Simplify right side
    751.82x = 522,665.07
  5. Step 5: Solve for x
    x = 522,665.07/751.82
  6. Step 6: Final answer
    x = 695.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.