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Finding the Fourth Proportional to 762.09, 1,050.01 and 537.92

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Solution

The fourth proportional to 762.09, 1,050.01 and 537.92 is: 741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.09 : 1,050.01 = 537.92 : x
  2. Step 2: Convert to fraction form
    762.09/1,050.01 = 537.92/x
  3. Step 3: Cross multiply
    762.09x = 1,050.01 × 537.92
  4. Step 4: Simplify right side
    762.09x = 564,822.66
  5. Step 5: Solve for x
    x = 564,822.66/762.09
  6. Step 6: Final answer
    x = 741.15

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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.