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Finding the Fourth Proportional to 1,040.09, 1,560.10 and 309.67

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Solution

The fourth proportional to 1,040.09, 1,560.10 and 309.67 is: 464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.09 : 1,560.10 = 309.67 : x
  2. Step 2: Convert to fraction form
    1,040.09/1,560.10 = 309.67/x
  3. Step 3: Cross multiply
    1,040.09x = 1,560.10 × 309.67
  4. Step 4: Simplify right side
    1,040.09x = 483,108.37
  5. Step 5: Solve for x
    x = 483,108.37/1,040.09
  6. Step 6: Final answer
    x = 464.49

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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.