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Finding the Fourth Proportional to 1,069.74, 1,596.78 and 983.07

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Solution

The fourth proportional to 1,069.74, 1,596.78 and 983.07 is: 1,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.74 : 1,596.78 = 983.07 : x
  2. Step 2: Convert to fraction form
    1,069.74/1,596.78 = 983.07/x
  3. Step 3: Cross multiply
    1,069.74x = 1,596.78 × 983.07
  4. Step 4: Simplify right side
    1,069.74x = 1,569,746.51
  5. Step 5: Solve for x
    x = 1,569,746.51/1,069.74
  6. Step 6: Final answer
    x = 1,467.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.