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Finding the Fourth Proportional to 1,419.93, 2,129.99 and 446.07

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Solution

The fourth proportional to 1,419.93, 2,129.99 and 446.07 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.93 : 2,129.99 = 446.07 : x
  2. Step 2: Convert to fraction form
    1,419.93/2,129.99 = 446.07/x
  3. Step 3: Cross multiply
    1,419.93x = 2,129.99 × 446.07
  4. Step 4: Simplify right side
    1,419.93x = 950,122.41
  5. Step 5: Solve for x
    x = 950,122.41/1,419.93
  6. Step 6: Final answer
    x = 669.13

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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.