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Finding the Fourth Proportional to 1,085.78, 1,628.73 and 509.06

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Solution

The fourth proportional to 1,085.78, 1,628.73 and 509.06 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.78 : 1,628.73 = 509.06 : x
  2. Step 2: Convert to fraction form
    1,085.78/1,628.73 = 509.06/x
  3. Step 3: Cross multiply
    1,085.78x = 1,628.73 × 509.06
  4. Step 4: Simplify right side
    1,085.78x = 829,121.29
  5. Step 5: Solve for x
    x = 829,121.29/1,085.78
  6. Step 6: Final answer
    x = 763.62

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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.