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Finding the Fourth Proportional to 763.12, 1,143.06 and 705.48

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Solution

The fourth proportional to 763.12, 1,143.06 and 705.48 is: 1,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.12 : 1,143.06 = 705.48 : x
  2. Step 2: Convert to fraction form
    763.12/1,143.06 = 705.48/x
  3. Step 3: Cross multiply
    763.12x = 1,143.06 × 705.48
  4. Step 4: Simplify right side
    763.12x = 806,405.97
  5. Step 5: Solve for x
    x = 806,405.97/763.12
  6. Step 6: Final answer
    x = 1,056.72

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