Home / 1,055.24-1,582.85-405.52

Finding the Fourth Proportional to 1,055.24, 1,582.85 and 405.52

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Solution

The fourth proportional to 1,055.24, 1,582.85 and 405.52 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.24 : 1,582.85 = 405.52 : x
  2. Step 2: Convert to fraction form
    1,055.24/1,582.85 = 405.52/x
  3. Step 3: Cross multiply
    1,055.24x = 1,582.85 × 405.52
  4. Step 4: Simplify right side
    1,055.24x = 641,877.33
  5. Step 5: Solve for x
    x = 641,877.33/1,055.24
  6. Step 6: Final answer
    x = 608.28

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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.