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Finding the Fourth Proportional to 1,122.01, 1,682.63 and 428.88

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Solution

The fourth proportional to 1,122.01, 1,682.63 and 428.88 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.01 : 1,682.63 = 428.88 : x
  2. Step 2: Convert to fraction form
    1,122.01/1,682.63 = 428.88/x
  3. Step 3: Cross multiply
    1,122.01x = 1,682.63 × 428.88
  4. Step 4: Simplify right side
    1,122.01x = 721,639.51
  5. Step 5: Solve for x
    x = 721,639.51/1,122.01
  6. Step 6: Final answer
    x = 643.17

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