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Finding the Fourth Proportional to 1,058.84, 1,463.14 and 1,008.26

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Solution

The fourth proportional to 1,058.84, 1,463.14 and 1,008.26 is: 1,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.84 : 1,463.14 = 1,008.26 : x
  2. Step 2: Convert to fraction form
    1,058.84/1,463.14 = 1,008.26/x
  3. Step 3: Cross multiply
    1,058.84x = 1,463.14 × 1,008.26
  4. Step 4: Simplify right side
    1,058.84x = 1,475,225.54
  5. Step 5: Solve for x
    x = 1,475,225.54/1,058.84
  6. Step 6: Final answer
    x = 1,393.25

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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.