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Finding the Fourth Proportional to 1,055.76, 1,583.16 and 812.44

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Solution

The fourth proportional to 1,055.76, 1,583.16 and 812.44 is: 1,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,583.16 = 812.44 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,583.16 = 812.44/x
  3. Step 3: Cross multiply
    1,055.76x = 1,583.16 × 812.44
  4. Step 4: Simplify right side
    1,055.76x = 1,286,222.51
  5. Step 5: Solve for x
    x = 1,286,222.51/1,055.76
  6. Step 6: Final answer
    x = 1,218.29

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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.