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Finding the Fourth Proportional to 1,047.69, 1,445.71 and 605.53

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Solution

The fourth proportional to 1,047.69, 1,445.71 and 605.53 is: 835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,445.71 = 605.53 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,445.71 = 605.53/x
  3. Step 3: Cross multiply
    1,047.69x = 1,445.71 × 605.53
  4. Step 4: Simplify right side
    1,047.69x = 875,420.78
  5. Step 5: Solve for x
    x = 875,420.78/1,047.69
  6. Step 6: Final answer
    x = 835.57

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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.