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Finding the Fourth Proportional to 1,538.89, 2,307.90 and 716.33

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Solution

The fourth proportional to 1,538.89, 2,307.90 and 716.33 is: 1,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.89 : 2,307.90 = 716.33 : x
  2. Step 2: Convert to fraction form
    1,538.89/2,307.90 = 716.33/x
  3. Step 3: Cross multiply
    1,538.89x = 2,307.90 × 716.33
  4. Step 4: Simplify right side
    1,538.89x = 1,653,218.01
  5. Step 5: Solve for x
    x = 1,653,218.01/1,538.89
  6. Step 6: Final answer
    x = 1,074.29

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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.