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Finding the Fourth Proportional to 1,544.71, 2,316.96 and 570.73

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Solution

The fourth proportional to 1,544.71, 2,316.96 and 570.73 is: 856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.71 : 2,316.96 = 570.73 : x
  2. Step 2: Convert to fraction form
    1,544.71/2,316.96 = 570.73/x
  3. Step 3: Cross multiply
    1,544.71x = 2,316.96 × 570.73
  4. Step 4: Simplify right side
    1,544.71x = 1,322,358.58
  5. Step 5: Solve for x
    x = 1,322,358.58/1,544.71
  6. Step 6: Final answer
    x = 856.06

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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.