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Finding the Fourth Proportional to 877.13, 1,210.24 and 523.03

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Solution

The fourth proportional to 877.13, 1,210.24 and 523.03 is: 721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.13 : 1,210.24 = 523.03 : x
  2. Step 2: Convert to fraction form
    877.13/1,210.24 = 523.03/x
  3. Step 3: Cross multiply
    877.13x = 1,210.24 × 523.03
  4. Step 4: Simplify right side
    877.13x = 632,991.83
  5. Step 5: Solve for x
    x = 632,991.83/877.13
  6. Step 6: Final answer
    x = 721.66

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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.