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Finding the Fourth Proportional to 1,015.23, 1,400.67 and 573.03

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Solution

The fourth proportional to 1,015.23, 1,400.67 and 573.03 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.23 : 1,400.67 = 573.03 : x
  2. Step 2: Convert to fraction form
    1,015.23/1,400.67 = 573.03/x
  3. Step 3: Cross multiply
    1,015.23x = 1,400.67 × 573.03
  4. Step 4: Simplify right side
    1,015.23x = 802,625.93
  5. Step 5: Solve for x
    x = 802,625.93/1,015.23
  6. Step 6: Final answer
    x = 790.59

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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.