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Finding the Fourth Proportional to 838.41, 1,254.96 and 472.11

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Solution

The fourth proportional to 838.41, 1,254.96 and 472.11 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.41 : 1,254.96 = 472.11 : x
  2. Step 2: Convert to fraction form
    838.41/1,254.96 = 472.11/x
  3. Step 3: Cross multiply
    838.41x = 1,254.96 × 472.11
  4. Step 4: Simplify right side
    838.41x = 592,479.17
  5. Step 5: Solve for x
    x = 592,479.17/838.41
  6. Step 6: Final answer
    x = 706.67

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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.