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Finding the Fourth Proportional to 1,401.70, 2,101.02 and 579.75

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Solution

The fourth proportional to 1,401.70, 2,101.02 and 579.75 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.70 : 2,101.02 = 579.75 : x
  2. Step 2: Convert to fraction form
    1,401.70/2,101.02 = 579.75/x
  3. Step 3: Cross multiply
    1,401.70x = 2,101.02 × 579.75
  4. Step 4: Simplify right side
    1,401.70x = 1,218,066.35
  5. Step 5: Solve for x
    x = 1,218,066.35/1,401.70
  6. Step 6: Final answer
    x = 868.99

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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.