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Finding the Fourth Proportional to 1,058.21, 1,587.42 and 364.78

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Solution

The fourth proportional to 1,058.21, 1,587.42 and 364.78 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.21 : 1,587.42 = 364.78 : x
  2. Step 2: Convert to fraction form
    1,058.21/1,587.42 = 364.78/x
  3. Step 3: Cross multiply
    1,058.21x = 1,587.42 × 364.78
  4. Step 4: Simplify right side
    1,058.21x = 579,057.24
  5. Step 5: Solve for x
    x = 579,057.24/1,058.21
  6. Step 6: Final answer
    x = 547.21

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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.