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Finding the Fourth Proportional to 1,055.36, 1,583.03 and 275.30

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Solution

The fourth proportional to 1,055.36, 1,583.03 and 275.30 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.36 : 1,583.03 = 275.30 : x
  2. Step 2: Convert to fraction form
    1,055.36/1,583.03 = 275.30/x
  3. Step 3: Cross multiply
    1,055.36x = 1,583.03 × 275.30
  4. Step 4: Simplify right side
    1,055.36x = 435,798.87
  5. Step 5: Solve for x
    x = 435,798.87/1,055.36
  6. Step 6: Final answer
    x = 412.94

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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.