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Finding the Fourth Proportional to 900.61, 1,351.14 and 716.21

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Solution

The fourth proportional to 900.61, 1,351.14 and 716.21 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.61 : 1,351.14 = 716.21 : x
  2. Step 2: Convert to fraction form
    900.61/1,351.14 = 716.21/x
  3. Step 3: Cross multiply
    900.61x = 1,351.14 × 716.21
  4. Step 4: Simplify right side
    900.61x = 967,699.98
  5. Step 5: Solve for x
    x = 967,699.98/900.61
  6. Step 6: Final answer
    x = 1,074.49

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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.