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Finding the Fourth Proportional to 1,573.47, 2,358.75 and 546.75

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Solution

The fourth proportional to 1,573.47, 2,358.75 and 546.75 is: 819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.47 : 2,358.75 = 546.75 : x
  2. Step 2: Convert to fraction form
    1,573.47/2,358.75 = 546.75/x
  3. Step 3: Cross multiply
    1,573.47x = 2,358.75 × 546.75
  4. Step 4: Simplify right side
    1,573.47x = 1,289,646.56
  5. Step 5: Solve for x
    x = 1,289,646.56/1,573.47
  6. Step 6: Final answer
    x = 819.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.