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Finding the Fourth Proportional to 860.55, 1,184.93 and 735.92

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Solution

The fourth proportional to 860.55, 1,184.93 and 735.92 is: 1,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.55 : 1,184.93 = 735.92 : x
  2. Step 2: Convert to fraction form
    860.55/1,184.93 = 735.92/x
  3. Step 3: Cross multiply
    860.55x = 1,184.93 × 735.92
  4. Step 4: Simplify right side
    860.55x = 872,004.08
  5. Step 5: Solve for x
    x = 872,004.08/860.55
  6. Step 6: Final answer
    x = 1,013.31

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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.