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Finding the Fourth Proportional to 1,292.07, 1,782.90 and 899.22

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Solution

The fourth proportional to 1,292.07, 1,782.90 and 899.22 is: 1,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.07 : 1,782.90 = 899.22 : x
  2. Step 2: Convert to fraction form
    1,292.07/1,782.90 = 899.22/x
  3. Step 3: Cross multiply
    1,292.07x = 1,782.90 × 899.22
  4. Step 4: Simplify right side
    1,292.07x = 1,603,219.34
  5. Step 5: Solve for x
    x = 1,603,219.34/1,292.07
  6. Step 6: Final answer
    x = 1,240.81

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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.