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Finding the Fourth Proportional to 1,295.46, 1,942.58 and 473.16

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Solution

The fourth proportional to 1,295.46, 1,942.58 and 473.16 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.46 : 1,942.58 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,295.46/1,942.58 = 473.16/x
  3. Step 3: Cross multiply
    1,295.46x = 1,942.58 × 473.16
  4. Step 4: Simplify right side
    1,295.46x = 919,151.15
  5. Step 5: Solve for x
    x = 919,151.15/1,295.46
  6. Step 6: Final answer
    x = 709.52

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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.