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Finding the Fourth Proportional to 1,412.99, 1,949.94 and 783.53

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Solution

The fourth proportional to 1,412.99, 1,949.94 and 783.53 is: 1,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.99 : 1,949.94 = 783.53 : x
  2. Step 2: Convert to fraction form
    1,412.99/1,949.94 = 783.53/x
  3. Step 3: Cross multiply
    1,412.99x = 1,949.94 × 783.53
  4. Step 4: Simplify right side
    1,412.99x = 1,527,836.49
  5. Step 5: Solve for x
    x = 1,527,836.49/1,412.99
  6. Step 6: Final answer
    x = 1,081.28

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Why These Related Problems?

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