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Finding the Fourth Proportional to 1,412.68, 1,949.54 and 823.16

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Solution

The fourth proportional to 1,412.68, 1,949.54 and 823.16 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.68 : 1,949.54 = 823.16 : x
  2. Step 2: Convert to fraction form
    1,412.68/1,949.54 = 823.16/x
  3. Step 3: Cross multiply
    1,412.68x = 1,949.54 × 823.16
  4. Step 4: Simplify right side
    1,412.68x = 1,604,783.35
  5. Step 5: Solve for x
    x = 1,604,783.35/1,412.68
  6. Step 6: Final answer
    x = 1,135.99

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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.