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Finding the Fourth Proportional to 610.56, 916.62 and 509.10

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Solution

The fourth proportional to 610.56, 916.62 and 509.10 is: 764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 916.62 = 509.10 : x
  2. Step 2: Convert to fraction form
    610.56/916.62 = 509.10/x
  3. Step 3: Cross multiply
    610.56x = 916.62 × 509.10
  4. Step 4: Simplify right side
    610.56x = 466,651.24
  5. Step 5: Solve for x
    x = 466,651.24/610.56
  6. Step 6: Final answer
    x = 764.30

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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.