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Finding the Fourth Proportional to 1,292.22, 1,938.74 and 471.02

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Solution

The fourth proportional to 1,292.22, 1,938.74 and 471.02 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.22 : 1,938.74 = 471.02 : x
  2. Step 2: Convert to fraction form
    1,292.22/1,938.74 = 471.02/x
  3. Step 3: Cross multiply
    1,292.22x = 1,938.74 × 471.02
  4. Step 4: Simplify right side
    1,292.22x = 913,173.27
  5. Step 5: Solve for x
    x = 913,173.27/1,292.22
  6. Step 6: Final answer
    x = 706.67

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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.