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Finding the Fourth Proportional to 1,055.04, 1,582.64 and 324.69

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Solution

The fourth proportional to 1,055.04, 1,582.64 and 324.69 is: 487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.04 : 1,582.64 = 324.69 : x
  2. Step 2: Convert to fraction form
    1,055.04/1,582.64 = 324.69/x
  3. Step 3: Cross multiply
    1,055.04x = 1,582.64 × 324.69
  4. Step 4: Simplify right side
    1,055.04x = 513,867.38
  5. Step 5: Solve for x
    x = 513,867.38/1,055.04
  6. Step 6: Final answer
    x = 487.06

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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.