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Finding the Fourth Proportional to 838.04, 1,254.74 and 631.99

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Solution

The fourth proportional to 838.04, 1,254.74 and 631.99 is: 946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,254.74 = 631.99 : x
  2. Step 2: Convert to fraction form
    838.04/1,254.74 = 631.99/x
  3. Step 3: Cross multiply
    838.04x = 1,254.74 × 631.99
  4. Step 4: Simplify right side
    838.04x = 792,983.13
  5. Step 5: Solve for x
    x = 792,983.13/838.04
  6. Step 6: Final answer
    x = 946.24

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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.