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Finding the Fourth Proportional to 1,055.64, 1,583.76 and 325.22

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Solution

The fourth proportional to 1,055.64, 1,583.76 and 325.22 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.64 : 1,583.76 = 325.22 : x
  2. Step 2: Convert to fraction form
    1,055.64/1,583.76 = 325.22/x
  3. Step 3: Cross multiply
    1,055.64x = 1,583.76 × 325.22
  4. Step 4: Simplify right side
    1,055.64x = 515,070.43
  5. Step 5: Solve for x
    x = 515,070.43/1,055.64
  6. Step 6: Final answer
    x = 487.92

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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.