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Finding the Fourth Proportional to 1,055.91, 1,583.64 and 362.61

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Solution

The fourth proportional to 1,055.91, 1,583.64 and 362.61 is: 543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.91 : 1,583.64 = 362.61 : x
  2. Step 2: Convert to fraction form
    1,055.91/1,583.64 = 362.61/x
  3. Step 3: Cross multiply
    1,055.91x = 1,583.64 × 362.61
  4. Step 4: Simplify right side
    1,055.91x = 574,243.70
  5. Step 5: Solve for x
    x = 574,243.70/1,055.91
  6. Step 6: Final answer
    x = 543.84

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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.