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Finding the Fourth Proportional to 1,423.00, 2,135.18 and 643.55

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Solution

The fourth proportional to 1,423.00, 2,135.18 and 643.55 is: 965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.00 : 2,135.18 = 643.55 : x
  2. Step 2: Convert to fraction form
    1,423.00/2,135.18 = 643.55/x
  3. Step 3: Cross multiply
    1,423.00x = 2,135.18 × 643.55
  4. Step 4: Simplify right side
    1,423.00x = 1,374,091.87
  5. Step 5: Solve for x
    x = 1,374,091.87/1,423.00
  6. Step 6: Final answer
    x = 965.63

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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.