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Finding the Fourth Proportional to 1,293.13, 1,938.53 and 471.23

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Solution

The fourth proportional to 1,293.13, 1,938.53 and 471.23 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.13 : 1,938.53 = 471.23 : x
  2. Step 2: Convert to fraction form
    1,293.13/1,938.53 = 471.23/x
  3. Step 3: Cross multiply
    1,293.13x = 1,938.53 × 471.23
  4. Step 4: Simplify right side
    1,293.13x = 913,484.98
  5. Step 5: Solve for x
    x = 913,484.98/1,293.13
  6. Step 6: Final answer
    x = 706.42

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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.