Home / 1,055.23-1,582.84-324.63

Finding the Fourth Proportional to 1,055.23, 1,582.84 and 324.63

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Solution

The fourth proportional to 1,055.23, 1,582.84 and 324.63 is: 486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.23 : 1,582.84 = 324.63 : x
  2. Step 2: Convert to fraction form
    1,055.23/1,582.84 = 324.63/x
  3. Step 3: Cross multiply
    1,055.23x = 1,582.84 × 324.63
  4. Step 4: Simplify right side
    1,055.23x = 513,842.21
  5. Step 5: Solve for x
    x = 513,842.21/1,055.23
  6. Step 6: Final answer
    x = 486.95

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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.