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Finding the Fourth Proportional to 607.61, 911.46 and 509.24

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Solution

The fourth proportional to 607.61, 911.46 and 509.24 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.61 : 911.46 = 509.24 : x
  2. Step 2: Convert to fraction form
    607.61/911.46 = 509.24/x
  3. Step 3: Cross multiply
    607.61x = 911.46 × 509.24
  4. Step 4: Simplify right side
    607.61x = 464,151.89
  5. Step 5: Solve for x
    x = 464,151.89/607.61
  6. Step 6: Final answer
    x = 763.90

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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.