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Finding the Fourth Proportional to 1,376.69, 2,064.13 and 783.73

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Solution

The fourth proportional to 1,376.69, 2,064.13 and 783.73 is: 1,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.69 : 2,064.13 = 783.73 : x
  2. Step 2: Convert to fraction form
    1,376.69/2,064.13 = 783.73/x
  3. Step 3: Cross multiply
    1,376.69x = 2,064.13 × 783.73
  4. Step 4: Simplify right side
    1,376.69x = 1,617,714.02
  5. Step 5: Solve for x
    x = 1,617,714.02/1,376.69
  6. Step 6: Final answer
    x = 1,175.08

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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.