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Finding the Fourth Proportional to 1,423.40, 2,135.41 and 436.35

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Solution

The fourth proportional to 1,423.40, 2,135.41 and 436.35 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.40 : 2,135.41 = 436.35 : x
  2. Step 2: Convert to fraction form
    1,423.40/2,135.41 = 436.35/x
  3. Step 3: Cross multiply
    1,423.40x = 2,135.41 × 436.35
  4. Step 4: Simplify right side
    1,423.40x = 931,780.81
  5. Step 5: Solve for x
    x = 931,780.81/1,423.40
  6. Step 6: Final answer
    x = 654.62

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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.