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Finding the Fourth Proportional to 877.31, 1,210.30 and 504.21

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Solution

The fourth proportional to 877.31, 1,210.30 and 504.21 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.31 : 1,210.30 = 504.21 : x
  2. Step 2: Convert to fraction form
    877.31/1,210.30 = 504.21/x
  3. Step 3: Cross multiply
    877.31x = 1,210.30 × 504.21
  4. Step 4: Simplify right side
    877.31x = 610,245.36
  5. Step 5: Solve for x
    x = 610,245.36/877.31
  6. Step 6: Final answer
    x = 695.59

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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.