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Finding the Fourth Proportional to 877.30, 1,210.78 and 523.24

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Solution

The fourth proportional to 877.30, 1,210.78 and 523.24 is: 722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.30 : 1,210.78 = 523.24 : x
  2. Step 2: Convert to fraction form
    877.30/1,210.78 = 523.24/x
  3. Step 3: Cross multiply
    877.30x = 1,210.78 × 523.24
  4. Step 4: Simplify right side
    877.30x = 633,528.53
  5. Step 5: Solve for x
    x = 633,528.53/877.30
  6. Step 6: Final answer
    x = 722.13

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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.