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Finding the Fourth Proportional to 1,150.86, 1,733.98 and 1,041.31

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Solution

The fourth proportional to 1,150.86, 1,733.98 and 1,041.31 is: 1,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.86 : 1,733.98 = 1,041.31 : x
  2. Step 2: Convert to fraction form
    1,150.86/1,733.98 = 1,041.31/x
  3. Step 3: Cross multiply
    1,150.86x = 1,733.98 × 1,041.31
  4. Step 4: Simplify right side
    1,150.86x = 1,805,605.51
  5. Step 5: Solve for x
    x = 1,805,605.51/1,150.86
  6. Step 6: Final answer
    x = 1,568.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.