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Finding the Fourth Proportional to 1,051.70, 1,440.84 and 1,012.29

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Solution

The fourth proportional to 1,051.70, 1,440.84 and 1,012.29 is: 1,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.70 : 1,440.84 = 1,012.29 : x
  2. Step 2: Convert to fraction form
    1,051.70/1,440.84 = 1,012.29/x
  3. Step 3: Cross multiply
    1,051.70x = 1,440.84 × 1,012.29
  4. Step 4: Simplify right side
    1,051.70x = 1,458,535.66
  5. Step 5: Solve for x
    x = 1,458,535.66/1,051.70
  6. Step 6: Final answer
    x = 1,386.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.