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Finding the Fourth Proportional to 877.74, 1,210.85 and 523.42

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Solution

The fourth proportional to 877.74, 1,210.85 and 523.42 is: 722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.74 : 1,210.85 = 523.42 : x
  2. Step 2: Convert to fraction form
    877.74/1,210.85 = 523.42/x
  3. Step 3: Cross multiply
    877.74x = 1,210.85 × 523.42
  4. Step 4: Simplify right side
    877.74x = 633,787.94
  5. Step 5: Solve for x
    x = 633,787.94/877.74
  6. Step 6: Final answer
    x = 722.07

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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.