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Finding the Fourth Proportional to 618.72, 850 and 507.84

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Solution

The fourth proportional to 618.72, 850 and 507.84 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.72 : 850 = 507.84 : x
  2. Step 2: Convert to fraction form
    618.72/850 = 507.84/x
  3. Step 3: Cross multiply
    618.72x = 850 × 507.84
  4. Step 4: Simplify right side
    618.72x = 431,664
  5. Step 5: Solve for x
    x = 431,664/618.72
  6. Step 6: Final answer
    x = 697.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.