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Finding the Fourth Proportional to 1,081.59, 1,622.02 and 350.99

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Solution

The fourth proportional to 1,081.59, 1,622.02 and 350.99 is: 526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.59 : 1,622.02 = 350.99 : x
  2. Step 2: Convert to fraction form
    1,081.59/1,622.02 = 350.99/x
  3. Step 3: Cross multiply
    1,081.59x = 1,622.02 × 350.99
  4. Step 4: Simplify right side
    1,081.59x = 569,303.81
  5. Step 5: Solve for x
    x = 569,303.81/1,081.59
  6. Step 6: Final answer
    x = 526.36

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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.