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Finding the Fourth Proportional to 1,578.54, 2,367.42 and 653.70

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Solution

The fourth proportional to 1,578.54, 2,367.42 and 653.70 is: 980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.54 : 2,367.42 = 653.70 : x
  2. Step 2: Convert to fraction form
    1,578.54/2,367.42 = 653.70/x
  3. Step 3: Cross multiply
    1,578.54x = 2,367.42 × 653.70
  4. Step 4: Simplify right side
    1,578.54x = 1,547,582.45
  5. Step 5: Solve for x
    x = 1,547,582.45/1,578.54
  6. Step 6: Final answer
    x = 980.39

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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.