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Finding the Fourth Proportional to 1,683.78, 2,525.05 and 589.06

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Solution

The fourth proportional to 1,683.78, 2,525.05 and 589.06 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.78 : 2,525.05 = 589.06 : x
  2. Step 2: Convert to fraction form
    1,683.78/2,525.05 = 589.06/x
  3. Step 3: Cross multiply
    1,683.78x = 2,525.05 × 589.06
  4. Step 4: Simplify right side
    1,683.78x = 1,487,405.95
  5. Step 5: Solve for x
    x = 1,487,405.95/1,683.78
  6. Step 6: Final answer
    x = 883.37

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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.