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Finding the Fourth Proportional to 1,402.46, 2,103.78 and 477.76

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Solution

The fourth proportional to 1,402.46, 2,103.78 and 477.76 is: 716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.46 : 2,103.78 = 477.76 : x
  2. Step 2: Convert to fraction form
    1,402.46/2,103.78 = 477.76/x
  3. Step 3: Cross multiply
    1,402.46x = 2,103.78 × 477.76
  4. Step 4: Simplify right side
    1,402.46x = 1,005,101.93
  5. Step 5: Solve for x
    x = 1,005,101.93/1,402.46
  6. Step 6: Final answer
    x = 716.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.