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Finding the Fourth Proportional to 1,058.33, 1,587.33 and 364.97

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Solution

The fourth proportional to 1,058.33, 1,587.33 and 364.97 is: 547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.33 : 1,587.33 = 364.97 : x
  2. Step 2: Convert to fraction form
    1,058.33/1,587.33 = 364.97/x
  3. Step 3: Cross multiply
    1,058.33x = 1,587.33 × 364.97
  4. Step 4: Simplify right side
    1,058.33x = 579,331.80
  5. Step 5: Solve for x
    x = 579,331.80/1,058.33
  6. Step 6: Final answer
    x = 547.40

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