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Finding the Fourth Proportional to 1,420.42, 2,130.82 and 446.18

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Solution

The fourth proportional to 1,420.42, 2,130.82 and 446.18 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.42 : 2,130.82 = 446.18 : x
  2. Step 2: Convert to fraction form
    1,420.42/2,130.82 = 446.18/x
  3. Step 3: Cross multiply
    1,420.42x = 2,130.82 × 446.18
  4. Step 4: Simplify right side
    1,420.42x = 950,729.27
  5. Step 5: Solve for x
    x = 950,729.27/1,420.42
  6. Step 6: Final answer
    x = 669.33

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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.