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Finding the Fourth Proportional to 1,482.84, 2,224.53 and 661.11

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Solution

The fourth proportional to 1,482.84, 2,224.53 and 661.11 is: 991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.84 : 2,224.53 = 661.11 : x
  2. Step 2: Convert to fraction form
    1,482.84/2,224.53 = 661.11/x
  3. Step 3: Cross multiply
    1,482.84x = 2,224.53 × 661.11
  4. Step 4: Simplify right side
    1,482.84x = 1,470,659.03
  5. Step 5: Solve for x
    x = 1,470,659.03/1,482.84
  6. Step 6: Final answer
    x = 991.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.