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Finding the Fourth Proportional to 1,229.45, 1,846.04 and 1,058.00

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Solution

The fourth proportional to 1,229.45, 1,846.04 and 1,058.00 is: 1,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.45 : 1,846.04 = 1,058.00 : x
  2. Step 2: Convert to fraction form
    1,229.45/1,846.04 = 1,058.00/x
  3. Step 3: Cross multiply
    1,229.45x = 1,846.04 × 1,058.00
  4. Step 4: Simplify right side
    1,229.45x = 1,953,095.80
  5. Step 5: Solve for x
    x = 1,953,095.80/1,229.45
  6. Step 6: Final answer
    x = 1,588.60

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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.