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Finding the Fourth Proportional to 1,154.22, 1,729.80 and 605.28

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Solution

The fourth proportional to 1,154.22, 1,729.80 and 605.28 is: 907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.22 : 1,729.80 = 605.28 : x
  2. Step 2: Convert to fraction form
    1,154.22/1,729.80 = 605.28/x
  3. Step 3: Cross multiply
    1,154.22x = 1,729.80 × 605.28
  4. Step 4: Simplify right side
    1,154.22x = 1,047,013.34
  5. Step 5: Solve for x
    x = 1,047,013.34/1,154.22
  6. Step 6: Final answer
    x = 907.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.