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Finding the Fourth Proportional to 1,373.26, 2,059.28 and 399.14

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Solution

The fourth proportional to 1,373.26, 2,059.28 and 399.14 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.26 : 2,059.28 = 399.14 : x
  2. Step 2: Convert to fraction form
    1,373.26/2,059.28 = 399.14/x
  3. Step 3: Cross multiply
    1,373.26x = 2,059.28 × 399.14
  4. Step 4: Simplify right side
    1,373.26x = 821,941.02
  5. Step 5: Solve for x
    x = 821,941.02/1,373.26
  6. Step 6: Final answer
    x = 598.53

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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.