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Finding the Fourth Proportional to 1,029, 1,419.50 and 609.06

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Solution

The fourth proportional to 1,029, 1,419.50 and 609.06 is: 840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029 : 1,419.50 = 609.06 : x
  2. Step 2: Convert to fraction form
    1,029/1,419.50 = 609.06/x
  3. Step 3: Cross multiply
    1,029x = 1,419.50 × 609.06
  4. Step 4: Simplify right side
    1,029x = 864,560.67
  5. Step 5: Solve for x
    x = 864,560.67/1,029
  6. Step 6: Final answer
    x = 840.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.