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Finding the Fourth Proportional to 1,040.87, 1,437.48 and 900.32

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Solution

The fourth proportional to 1,040.87, 1,437.48 and 900.32 is: 1,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.87 : 1,437.48 = 900.32 : x
  2. Step 2: Convert to fraction form
    1,040.87/1,437.48 = 900.32/x
  3. Step 3: Cross multiply
    1,040.87x = 1,437.48 × 900.32
  4. Step 4: Simplify right side
    1,040.87x = 1,294,184.81
  5. Step 5: Solve for x
    x = 1,294,184.81/1,040.87
  6. Step 6: Final answer
    x = 1,243.37

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Why These Related Problems?

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