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Finding the Fourth Proportional to 1,147.49, 1,583.16 and 704.93

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Solution

The fourth proportional to 1,147.49, 1,583.16 and 704.93 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.49 : 1,583.16 = 704.93 : x
  2. Step 2: Convert to fraction form
    1,147.49/1,583.16 = 704.93/x
  3. Step 3: Cross multiply
    1,147.49x = 1,583.16 × 704.93
  4. Step 4: Simplify right side
    1,147.49x = 1,116,016.98
  5. Step 5: Solve for x
    x = 1,116,016.98/1,147.49
  6. Step 6: Final answer
    x = 972.57

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Why These Related Problems?

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