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Finding the Fourth Proportional to 1,055.74, 1,583.43 and 325.48

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Solution

The fourth proportional to 1,055.74, 1,583.43 and 325.48 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.74 : 1,583.43 = 325.48 : x
  2. Step 2: Convert to fraction form
    1,055.74/1,583.43 = 325.48/x
  3. Step 3: Cross multiply
    1,055.74x = 1,583.43 × 325.48
  4. Step 4: Simplify right side
    1,055.74x = 515,374.80
  5. Step 5: Solve for x
    x = 515,374.80/1,055.74
  6. Step 6: Final answer
    x = 488.16

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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.