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Finding the Fourth Proportional to 838.76, 1,256.01 and 701.46

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Solution

The fourth proportional to 838.76, 1,256.01 and 701.46 is: 1,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.76 : 1,256.01 = 701.46 : x
  2. Step 2: Convert to fraction form
    838.76/1,256.01 = 701.46/x
  3. Step 3: Cross multiply
    838.76x = 1,256.01 × 701.46
  4. Step 4: Simplify right side
    838.76x = 881,038.14
  5. Step 5: Solve for x
    x = 881,038.14/838.76
  6. Step 6: Final answer
    x = 1,050.41

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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.