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Finding the Fourth Proportional to 1,356.84, 1,872.45 and 832.68

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Solution

The fourth proportional to 1,356.84, 1,872.45 and 832.68 is: 1,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.84 : 1,872.45 = 832.68 : x
  2. Step 2: Convert to fraction form
    1,356.84/1,872.45 = 832.68/x
  3. Step 3: Cross multiply
    1,356.84x = 1,872.45 × 832.68
  4. Step 4: Simplify right side
    1,356.84x = 1,559,151.67
  5. Step 5: Solve for x
    x = 1,559,151.67/1,356.84
  6. Step 6: Final answer
    x = 1,149.11

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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.