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Finding the Fourth Proportional to 1,158.50, 1,738.06 and 509.09

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Solution

The fourth proportional to 1,158.50, 1,738.06 and 509.09 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.50 : 1,738.06 = 509.09 : x
  2. Step 2: Convert to fraction form
    1,158.50/1,738.06 = 509.09/x
  3. Step 3: Cross multiply
    1,158.50x = 1,738.06 × 509.09
  4. Step 4: Simplify right side
    1,158.50x = 884,819.00
  5. Step 5: Solve for x
    x = 884,819.00/1,158.50
  6. Step 6: Final answer
    x = 763.76

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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.