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Finding the Fourth Proportional to 1,026.95, 1,534.17 and 822.02

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Solution

The fourth proportional to 1,026.95, 1,534.17 and 822.02 is: 1,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,534.17 = 822.02 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,534.17 = 822.02/x
  3. Step 3: Cross multiply
    1,026.95x = 1,534.17 × 822.02
  4. Step 4: Simplify right side
    1,026.95x = 1,261,113.84
  5. Step 5: Solve for x
    x = 1,261,113.84/1,026.95
  6. Step 6: Final answer
    x = 1,228.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.