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Finding the Fourth Proportional to 743.94, 1,116.05 and 257.04

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Solution

The fourth proportional to 743.94, 1,116.05 and 257.04 is: 385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.94 : 1,116.05 = 257.04 : x
  2. Step 2: Convert to fraction form
    743.94/1,116.05 = 257.04/x
  3. Step 3: Cross multiply
    743.94x = 1,116.05 × 257.04
  4. Step 4: Simplify right side
    743.94x = 286,868.21
  5. Step 5: Solve for x
    x = 286,868.21/743.94
  6. Step 6: Final answer
    x = 385.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.