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Finding the Fourth Proportional to 1,055.96, 1,583.93 and 362.63

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Solution

The fourth proportional to 1,055.96, 1,583.93 and 362.63 is: 543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.96 : 1,583.93 = 362.63 : x
  2. Step 2: Convert to fraction form
    1,055.96/1,583.93 = 362.63/x
  3. Step 3: Cross multiply
    1,055.96x = 1,583.93 × 362.63
  4. Step 4: Simplify right side
    1,055.96x = 574,380.54
  5. Step 5: Solve for x
    x = 574,380.54/1,055.96
  6. Step 6: Final answer
    x = 543.94

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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.