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Finding the Fourth Proportional to 613.48, 918.96 and 510.43

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Solution

The fourth proportional to 613.48, 918.96 and 510.43 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 918.96 = 510.43 : x
  2. Step 2: Convert to fraction form
    613.48/918.96 = 510.43/x
  3. Step 3: Cross multiply
    613.48x = 918.96 × 510.43
  4. Step 4: Simplify right side
    613.48x = 469,065.14
  5. Step 5: Solve for x
    x = 469,065.14/613.48
  6. Step 6: Final answer
    x = 764.60

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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.