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Finding the Fourth Proportional to 1,058.49, 1,447.76 and 1,041.48

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Solution

The fourth proportional to 1,058.49, 1,447.76 and 1,041.48 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.49 : 1,447.76 = 1,041.48 : x
  2. Step 2: Convert to fraction form
    1,058.49/1,447.76 = 1,041.48/x
  3. Step 3: Cross multiply
    1,058.49x = 1,447.76 × 1,041.48
  4. Step 4: Simplify right side
    1,058.49x = 1,507,807.88
  5. Step 5: Solve for x
    x = 1,507,807.88/1,058.49
  6. Step 6: Final answer
    x = 1,424.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.