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Finding the Fourth Proportional to 1,147.34, 1,583.56 and 754.36

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Solution

The fourth proportional to 1,147.34, 1,583.56 and 754.36 is: 1,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.34 : 1,583.56 = 754.36 : x
  2. Step 2: Convert to fraction form
    1,147.34/1,583.56 = 754.36/x
  3. Step 3: Cross multiply
    1,147.34x = 1,583.56 × 754.36
  4. Step 4: Simplify right side
    1,147.34x = 1,194,574.32
  5. Step 5: Solve for x
    x = 1,194,574.32/1,147.34
  6. Step 6: Final answer
    x = 1,041.17

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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.