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Finding the Fourth Proportional to 1,423.85, 2,135.18 and 436.34

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Solution

The fourth proportional to 1,423.85, 2,135.18 and 436.34 is: 654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 2,135.18 = 436.34 : x
  2. Step 2: Convert to fraction form
    1,423.85/2,135.18 = 436.34/x
  3. Step 3: Cross multiply
    1,423.85x = 2,135.18 × 436.34
  4. Step 4: Simplify right side
    1,423.85x = 931,670.87
  5. Step 5: Solve for x
    x = 931,670.87/1,423.85
  6. Step 6: Final answer
    x = 654.33

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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.