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Finding the Fourth Proportional to 858.93, 1,184.43 and 735

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Solution

The fourth proportional to 858.93, 1,184.43 and 735 is: 1,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.93 : 1,184.43 = 735 : x
  2. Step 2: Convert to fraction form
    858.93/1,184.43 = 735/x
  3. Step 3: Cross multiply
    858.93x = 1,184.43 × 735
  4. Step 4: Simplify right side
    858.93x = 870,556.05
  5. Step 5: Solve for x
    x = 870,556.05/858.93
  6. Step 6: Final answer
    x = 1,013.54

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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.