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Finding the Fourth Proportional to 860.75, 1,190.96 and 750.46

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Solution

The fourth proportional to 860.75, 1,190.96 and 750.46 is: 1,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.75 : 1,190.96 = 750.46 : x
  2. Step 2: Convert to fraction form
    860.75/1,190.96 = 750.46/x
  3. Step 3: Cross multiply
    860.75x = 1,190.96 × 750.46
  4. Step 4: Simplify right side
    860.75x = 893,763.76
  5. Step 5: Solve for x
    x = 893,763.76/860.75
  6. Step 6: Final answer
    x = 1,038.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.