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Finding the Fourth Proportional to 1,047.49, 1,445.88 and 605.50

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Solution

The fourth proportional to 1,047.49, 1,445.88 and 605.50 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.49 : 1,445.88 = 605.50 : x
  2. Step 2: Convert to fraction form
    1,047.49/1,445.88 = 605.50/x
  3. Step 3: Cross multiply
    1,047.49x = 1,445.88 × 605.50
  4. Step 4: Simplify right side
    1,047.49x = 875,480.34
  5. Step 5: Solve for x
    x = 875,480.34/1,047.49
  6. Step 6: Final answer
    x = 835.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.