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Finding the Fourth Proportional to 1,101.30, 1,520.19 and 751.74

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Solution

The fourth proportional to 1,101.30, 1,520.19 and 751.74 is: 1,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.30 : 1,520.19 = 751.74 : x
  2. Step 2: Convert to fraction form
    1,101.30/1,520.19 = 751.74/x
  3. Step 3: Cross multiply
    1,101.30x = 1,520.19 × 751.74
  4. Step 4: Simplify right side
    1,101.30x = 1,142,787.63
  5. Step 5: Solve for x
    x = 1,142,787.63/1,101.30
  6. Step 6: Final answer
    x = 1,037.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.