Home / 1,055.30-1,583.17-406.03

Finding the Fourth Proportional to 1,055.30, 1,583.17 and 406.03

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Solution

The fourth proportional to 1,055.30, 1,583.17 and 406.03 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.30 : 1,583.17 = 406.03 : x
  2. Step 2: Convert to fraction form
    1,055.30/1,583.17 = 406.03/x
  3. Step 3: Cross multiply
    1,055.30x = 1,583.17 × 406.03
  4. Step 4: Simplify right side
    1,055.30x = 642,814.52
  5. Step 5: Solve for x
    x = 642,814.52/1,055.30
  6. Step 6: Final answer
    x = 609.13

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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.