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Finding the Fourth Proportional to 876.34, 1,210.31 and 822.07

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Solution

The fourth proportional to 876.34, 1,210.31 and 822.07 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,210.31 = 822.07 : x
  2. Step 2: Convert to fraction form
    876.34/1,210.31 = 822.07/x
  3. Step 3: Cross multiply
    876.34x = 1,210.31 × 822.07
  4. Step 4: Simplify right side
    876.34x = 994,955.43
  5. Step 5: Solve for x
    x = 994,955.43/876.34
  6. Step 6: Final answer
    x = 1,135.35

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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.