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Finding the Fourth Proportional to 1,043.61, 1,441.37 and 903.50

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Solution

The fourth proportional to 1,043.61, 1,441.37 and 903.50 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.61 : 1,441.37 = 903.50 : x
  2. Step 2: Convert to fraction form
    1,043.61/1,441.37 = 903.50/x
  3. Step 3: Cross multiply
    1,043.61x = 1,441.37 × 903.50
  4. Step 4: Simplify right side
    1,043.61x = 1,302,283.82
  5. Step 5: Solve for x
    x = 1,302,283.82/1,043.61
  6. Step 6: Final answer
    x = 1,247.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.