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Finding the Fourth Proportional to 1,684.95, 2,528.57 and 589.33

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Solution

The fourth proportional to 1,684.95, 2,528.57 and 589.33 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.95 : 2,528.57 = 589.33 : x
  2. Step 2: Convert to fraction form
    1,684.95/2,528.57 = 589.33/x
  3. Step 3: Cross multiply
    1,684.95x = 2,528.57 × 589.33
  4. Step 4: Simplify right side
    1,684.95x = 1,490,149.25
  5. Step 5: Solve for x
    x = 1,490,149.25/1,684.95
  6. Step 6: Final answer
    x = 884.39

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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.