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Finding the Fourth Proportional to 1,377.30, 2,064.33 and 683.76

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Solution

The fourth proportional to 1,377.30, 2,064.33 and 683.76 is: 1,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.30 : 2,064.33 = 683.76 : x
  2. Step 2: Convert to fraction form
    1,377.30/2,064.33 = 683.76/x
  3. Step 3: Cross multiply
    1,377.30x = 2,064.33 × 683.76
  4. Step 4: Simplify right side
    1,377.30x = 1,411,506.28
  5. Step 5: Solve for x
    x = 1,411,506.28/1,377.30
  6. Step 6: Final answer
    x = 1,024.84

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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.