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Finding the Fourth Proportional to 1,058.40, 1,587.06 and 364.97

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Solution

The fourth proportional to 1,058.40, 1,587.06 and 364.97 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.40 : 1,587.06 = 364.97 : x
  2. Step 2: Convert to fraction form
    1,058.40/1,587.06 = 364.97/x
  3. Step 3: Cross multiply
    1,058.40x = 1,587.06 × 364.97
  4. Step 4: Simplify right side
    1,058.40x = 579,233.26
  5. Step 5: Solve for x
    x = 579,233.26/1,058.40
  6. Step 6: Final answer
    x = 547.27

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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.