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Finding the Fourth Proportional to 1,423.80, 2,135.62 and 499.40

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Solution

The fourth proportional to 1,423.80, 2,135.62 and 499.40 is: 749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.80 : 2,135.62 = 499.40 : x
  2. Step 2: Convert to fraction form
    1,423.80/2,135.62 = 499.40/x
  3. Step 3: Cross multiply
    1,423.80x = 2,135.62 × 499.40
  4. Step 4: Simplify right side
    1,423.80x = 1,066,528.63
  5. Step 5: Solve for x
    x = 1,066,528.63/1,423.80
  6. Step 6: Final answer
    x = 749.07

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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.