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Finding the Fourth Proportional to 1,058.35, 1,585.55 and 441.44

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Solution

The fourth proportional to 1,058.35, 1,585.55 and 441.44 is: 661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.35 : 1,585.55 = 441.44 : x
  2. Step 2: Convert to fraction form
    1,058.35/1,585.55 = 441.44/x
  3. Step 3: Cross multiply
    1,058.35x = 1,585.55 × 441.44
  4. Step 4: Simplify right side
    1,058.35x = 699,925.19
  5. Step 5: Solve for x
    x = 699,925.19/1,058.35
  6. Step 6: Final answer
    x = 661.34

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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.