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Finding the Fourth Proportional to 895.84, 1,236.48 and 822.10

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Solution

The fourth proportional to 895.84, 1,236.48 and 822.10 is: 1,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.84 : 1,236.48 = 822.10 : x
  2. Step 2: Convert to fraction form
    895.84/1,236.48 = 822.10/x
  3. Step 3: Cross multiply
    895.84x = 1,236.48 × 822.10
  4. Step 4: Simplify right side
    895.84x = 1,016,510.21
  5. Step 5: Solve for x
    x = 1,016,510.21/895.84
  6. Step 6: Final answer
    x = 1,134.70

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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.