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Finding the Fourth Proportional to 1,041.38, 1,561.93 and 310.82

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Solution

The fourth proportional to 1,041.38, 1,561.93 and 310.82 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.38 : 1,561.93 = 310.82 : x
  2. Step 2: Convert to fraction form
    1,041.38/1,561.93 = 310.82/x
  3. Step 3: Cross multiply
    1,041.38x = 1,561.93 × 310.82
  4. Step 4: Simplify right side
    1,041.38x = 485,479.08
  5. Step 5: Solve for x
    x = 485,479.08/1,041.38
  6. Step 6: Final answer
    x = 466.19

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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.