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Finding the Fourth Proportional to 1,058.12, 1,584.45 and 730.07

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Solution

The fourth proportional to 1,058.12, 1,584.45 and 730.07 is: 1,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.12 : 1,584.45 = 730.07 : x
  2. Step 2: Convert to fraction form
    1,058.12/1,584.45 = 730.07/x
  3. Step 3: Cross multiply
    1,058.12x = 1,584.45 × 730.07
  4. Step 4: Simplify right side
    1,058.12x = 1,156,755.76
  5. Step 5: Solve for x
    x = 1,156,755.76/1,058.12
  6. Step 6: Final answer
    x = 1,093.22

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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.