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Finding the Fourth Proportional to 906.03, 1,250.34 and 507.67

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Solution

The fourth proportional to 906.03, 1,250.34 and 507.67 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.03 : 1,250.34 = 507.67 : x
  2. Step 2: Convert to fraction form
    906.03/1,250.34 = 507.67/x
  3. Step 3: Cross multiply
    906.03x = 1,250.34 × 507.67
  4. Step 4: Simplify right side
    906.03x = 634,760.11
  5. Step 5: Solve for x
    x = 634,760.11/906.03
  6. Step 6: Final answer
    x = 700.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.