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Finding the Fourth Proportional to 1,376.76, 2,065.18 and 350.76

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Solution

The fourth proportional to 1,376.76, 2,065.18 and 350.76 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.76 : 2,065.18 = 350.76 : x
  2. Step 2: Convert to fraction form
    1,376.76/2,065.18 = 350.76/x
  3. Step 3: Cross multiply
    1,376.76x = 2,065.18 × 350.76
  4. Step 4: Simplify right side
    1,376.76x = 724,382.54
  5. Step 5: Solve for x
    x = 724,382.54/1,376.76
  6. Step 6: Final answer
    x = 526.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.