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Finding the Fourth Proportional to 1,058.19, 1,585.86 and 596.08

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Solution

The fourth proportional to 1,058.19, 1,585.86 and 596.08 is: 893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.19 : 1,585.86 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,058.19/1,585.86 = 596.08/x
  3. Step 3: Cross multiply
    1,058.19x = 1,585.86 × 596.08
  4. Step 4: Simplify right side
    1,058.19x = 945,299.43
  5. Step 5: Solve for x
    x = 945,299.43/1,058.19
  6. Step 6: Final answer
    x = 893.32

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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.