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Finding the Fourth Proportional to 1,294.14, 1,782.90 and 900.48

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Solution

The fourth proportional to 1,294.14, 1,782.90 and 900.48 is: 1,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.14 : 1,782.90 = 900.48 : x
  2. Step 2: Convert to fraction form
    1,294.14/1,782.90 = 900.48/x
  3. Step 3: Cross multiply
    1,294.14x = 1,782.90 × 900.48
  4. Step 4: Simplify right side
    1,294.14x = 1,605,465.79
  5. Step 5: Solve for x
    x = 1,605,465.79/1,294.14
  6. Step 6: Final answer
    x = 1,240.57

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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.