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Finding the Fourth Proportional to 1,058.68, 1,588.14 and 365.42

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Solution

The fourth proportional to 1,058.68, 1,588.14 and 365.42 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.68 : 1,588.14 = 365.42 : x
  2. Step 2: Convert to fraction form
    1,058.68/1,588.14 = 365.42/x
  3. Step 3: Cross multiply
    1,058.68x = 1,588.14 × 365.42
  4. Step 4: Simplify right side
    1,058.68x = 580,338.12
  5. Step 5: Solve for x
    x = 580,338.12/1,058.68
  6. Step 6: Final answer
    x = 548.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.