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Finding the Fourth Proportional to 1,051.50, 1,448.66 and 830.37

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Solution

The fourth proportional to 1,051.50, 1,448.66 and 830.37 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,448.66 = 830.37 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,448.66 = 830.37/x
  3. Step 3: Cross multiply
    1,051.50x = 1,448.66 × 830.37
  4. Step 4: Simplify right side
    1,051.50x = 1,202,919.65
  5. Step 5: Solve for x
    x = 1,202,919.65/1,051.50
  6. Step 6: Final answer
    x = 1,144.00

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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.