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Finding the Fourth Proportional to 730.16, 1,093.19 and 510.56

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Solution

The fourth proportional to 730.16, 1,093.19 and 510.56 is: 764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,093.19 = 510.56 : x
  2. Step 2: Convert to fraction form
    730.16/1,093.19 = 510.56/x
  3. Step 3: Cross multiply
    730.16x = 1,093.19 × 510.56
  4. Step 4: Simplify right side
    730.16x = 558,131.07
  5. Step 5: Solve for x
    x = 558,131.07/730.16
  6. Step 6: Final answer
    x = 764.40

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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.