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Finding the Fourth Proportional to 1,578.33, 2,367.63 and 653.71

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Solution

The fourth proportional to 1,578.33, 2,367.63 and 653.71 is: 980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.33 : 2,367.63 = 653.71 : x
  2. Step 2: Convert to fraction form
    1,578.33/2,367.63 = 653.71/x
  3. Step 3: Cross multiply
    1,578.33x = 2,367.63 × 653.71
  4. Step 4: Simplify right side
    1,578.33x = 1,547,743.41
  5. Step 5: Solve for x
    x = 1,547,743.41/1,578.33
  6. Step 6: Final answer
    x = 980.62

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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.