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Finding the Fourth Proportional to 757.86, 1,048.15 and 653.06

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Solution

The fourth proportional to 757.86, 1,048.15 and 653.06 is: 903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.86 : 1,048.15 = 653.06 : x
  2. Step 2: Convert to fraction form
    757.86/1,048.15 = 653.06/x
  3. Step 3: Cross multiply
    757.86x = 1,048.15 × 653.06
  4. Step 4: Simplify right side
    757.86x = 684,504.84
  5. Step 5: Solve for x
    x = 684,504.84/757.86
  6. Step 6: Final answer
    x = 903.21

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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.