Home / 1,190.48-1,782.26-899.18

Finding the Fourth Proportional to 1,190.48, 1,782.26 and 899.18

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Solution

The fourth proportional to 1,190.48, 1,782.26 and 899.18 is: 1,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.48 : 1,782.26 = 899.18 : x
  2. Step 2: Convert to fraction form
    1,190.48/1,782.26 = 899.18/x
  3. Step 3: Cross multiply
    1,190.48x = 1,782.26 × 899.18
  4. Step 4: Simplify right side
    1,190.48x = 1,602,559.14
  5. Step 5: Solve for x
    x = 1,602,559.14/1,190.48
  6. Step 6: Final answer
    x = 1,346.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.