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Finding the Fourth Proportional to 751.82, 1,037.83 and 457.19

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Solution

The fourth proportional to 751.82, 1,037.83 and 457.19 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.82 : 1,037.83 = 457.19 : x
  2. Step 2: Convert to fraction form
    751.82/1,037.83 = 457.19/x
  3. Step 3: Cross multiply
    751.82x = 1,037.83 × 457.19
  4. Step 4: Simplify right side
    751.82x = 474,480.31
  5. Step 5: Solve for x
    x = 474,480.31/751.82
  6. Step 6: Final answer
    x = 631.11

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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.