Home / 1,405.09-2,107.51-431.13

Finding the Fourth Proportional to 1,405.09, 2,107.51 and 431.13

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Solution

The fourth proportional to 1,405.09, 2,107.51 and 431.13 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.09 : 2,107.51 = 431.13 : x
  2. Step 2: Convert to fraction form
    1,405.09/2,107.51 = 431.13/x
  3. Step 3: Cross multiply
    1,405.09x = 2,107.51 × 431.13
  4. Step 4: Simplify right side
    1,405.09x = 908,610.79
  5. Step 5: Solve for x
    x = 908,610.79/1,405.09
  6. Step 6: Final answer
    x = 646.66

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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.