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Finding the Fourth Proportional to 1,455.23, 2,182.81 and 359.57

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Solution

The fourth proportional to 1,455.23, 2,182.81 and 359.57 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.23 : 2,182.81 = 359.57 : x
  2. Step 2: Convert to fraction form
    1,455.23/2,182.81 = 359.57/x
  3. Step 3: Cross multiply
    1,455.23x = 2,182.81 × 359.57
  4. Step 4: Simplify right side
    1,455.23x = 784,871.19
  5. Step 5: Solve for x
    x = 784,871.19/1,455.23
  6. Step 6: Final answer
    x = 539.35

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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.