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Finding the Fourth Proportional to 1,295.19, 1,941.57 and 473.24

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Solution

The fourth proportional to 1,295.19, 1,941.57 and 473.24 is: 709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,941.57 = 473.24 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,941.57 = 473.24/x
  3. Step 3: Cross multiply
    1,295.19x = 1,941.57 × 473.24
  4. Step 4: Simplify right side
    1,295.19x = 918,833.44
  5. Step 5: Solve for x
    x = 918,833.44/1,295.19
  6. Step 6: Final answer
    x = 709.42

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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.