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Finding the Fourth Proportional to 1,376.90, 2,065.66 and 683.95

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Solution

The fourth proportional to 1,376.90, 2,065.66 and 683.95 is: 1,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.90 : 2,065.66 = 683.95 : x
  2. Step 2: Convert to fraction form
    1,376.90/2,065.66 = 683.95/x
  3. Step 3: Cross multiply
    1,376.90x = 2,065.66 × 683.95
  4. Step 4: Simplify right side
    1,376.90x = 1,412,808.16
  5. Step 5: Solve for x
    x = 1,412,808.16/1,376.90
  6. Step 6: Final answer
    x = 1,026.08

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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.