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Finding the Fourth Proportional to 617.49, 926.37 and 509.04

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Solution

The fourth proportional to 617.49, 926.37 and 509.04 is: 763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 926.37 = 509.04 : x
  2. Step 2: Convert to fraction form
    617.49/926.37 = 509.04/x
  3. Step 3: Cross multiply
    617.49x = 926.37 × 509.04
  4. Step 4: Simplify right side
    617.49x = 471,559.38
  5. Step 5: Solve for x
    x = 471,559.38/617.49
  6. Step 6: Final answer
    x = 763.67

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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.