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Finding the Fourth Proportional to 1,424.02, 2,134.20 and 643.99

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Solution

The fourth proportional to 1,424.02, 2,134.20 and 643.99 is: 965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.02 : 2,134.20 = 643.99 : x
  2. Step 2: Convert to fraction form
    1,424.02/2,134.20 = 643.99/x
  3. Step 3: Cross multiply
    1,424.02x = 2,134.20 × 643.99
  4. Step 4: Simplify right side
    1,424.02x = 1,374,403.46
  5. Step 5: Solve for x
    x = 1,374,403.46/1,424.02
  6. Step 6: Final answer
    x = 965.16

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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.