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Finding the Fourth Proportional to 1,544.24, 2,316.66 and 570.34

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Solution

The fourth proportional to 1,544.24, 2,316.66 and 570.34 is: 855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.24 : 2,316.66 = 570.34 : x
  2. Step 2: Convert to fraction form
    1,544.24/2,316.66 = 570.34/x
  3. Step 3: Cross multiply
    1,544.24x = 2,316.66 × 570.34
  4. Step 4: Simplify right side
    1,544.24x = 1,321,283.86
  5. Step 5: Solve for x
    x = 1,321,283.86/1,544.24
  6. Step 6: Final answer
    x = 855.62

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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.