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Finding the Fourth Proportional to 1,346, 1,857.56 and 822.16

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Solution

The fourth proportional to 1,346, 1,857.56 and 822.16 is: 1,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346 : 1,857.56 = 822.16 : x
  2. Step 2: Convert to fraction form
    1,346/1,857.56 = 822.16/x
  3. Step 3: Cross multiply
    1,346x = 1,857.56 × 822.16
  4. Step 4: Simplify right side
    1,346x = 1,527,211.53
  5. Step 5: Solve for x
    x = 1,527,211.53/1,346
  6. Step 6: Final answer
    x = 1,134.63

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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.