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Finding the Fourth Proportional to 1,058.70, 1,588.44 and 564.59

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Solution

The fourth proportional to 1,058.70, 1,588.44 and 564.59 is: 847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.70 : 1,588.44 = 564.59 : x
  2. Step 2: Convert to fraction form
    1,058.70/1,588.44 = 564.59/x
  3. Step 3: Cross multiply
    1,058.70x = 1,588.44 × 564.59
  4. Step 4: Simplify right side
    1,058.70x = 896,821.31
  5. Step 5: Solve for x
    x = 896,821.31/1,058.70
  6. Step 6: Final answer
    x = 847.09

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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.