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Finding the Fourth Proportional to 1,145.22, 1,580.40 and 641.07

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Solution

The fourth proportional to 1,145.22, 1,580.40 and 641.07 is: 884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.22 : 1,580.40 = 641.07 : x
  2. Step 2: Convert to fraction form
    1,145.22/1,580.40 = 641.07/x
  3. Step 3: Cross multiply
    1,145.22x = 1,580.40 × 641.07
  4. Step 4: Simplify right side
    1,145.22x = 1,013,147.03
  5. Step 5: Solve for x
    x = 1,013,147.03/1,145.22
  6. Step 6: Final answer
    x = 884.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.