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Finding the Fourth Proportional to 1,600.74, 2,401.02 and 560.79

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Solution

The fourth proportional to 1,600.74, 2,401.02 and 560.79 is: 841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.74 : 2,401.02 = 560.79 : x
  2. Step 2: Convert to fraction form
    1,600.74/2,401.02 = 560.79/x
  3. Step 3: Cross multiply
    1,600.74x = 2,401.02 × 560.79
  4. Step 4: Simplify right side
    1,600.74x = 1,346,468.01
  5. Step 5: Solve for x
    x = 1,346,468.01/1,600.74
  6. Step 6: Final answer
    x = 841.15

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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.