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Finding the Fourth Proportional to 877.07, 1,210.31 and 523.02

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Solution

The fourth proportional to 877.07, 1,210.31 and 523.02 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.07 : 1,210.31 = 523.02 : x
  2. Step 2: Convert to fraction form
    877.07/1,210.31 = 523.02/x
  3. Step 3: Cross multiply
    877.07x = 1,210.31 × 523.02
  4. Step 4: Simplify right side
    877.07x = 633,013.72
  5. Step 5: Solve for x
    x = 633,013.72/877.07
  6. Step 6: Final answer
    x = 721.74

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Why These Related Problems?

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