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Finding the Fourth Proportional to 1,041.11, 1,561.63 and 310.69

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Solution

The fourth proportional to 1,041.11, 1,561.63 and 310.69 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.11 : 1,561.63 = 310.69 : x
  2. Step 2: Convert to fraction form
    1,041.11/1,561.63 = 310.69/x
  3. Step 3: Cross multiply
    1,041.11x = 1,561.63 × 310.69
  4. Step 4: Simplify right side
    1,041.11x = 485,182.82
  5. Step 5: Solve for x
    x = 485,182.82/1,041.11
  6. Step 6: Final answer
    x = 466.02

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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.