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Finding the Fourth Proportional to 1,402, 2,103.20 and 477.64

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Solution

The fourth proportional to 1,402, 2,103.20 and 477.64 is: 716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402 : 2,103.20 = 477.64 : x
  2. Step 2: Convert to fraction form
    1,402/2,103.20 = 477.64/x
  3. Step 3: Cross multiply
    1,402x = 2,103.20 × 477.64
  4. Step 4: Simplify right side
    1,402x = 1,004,572.45
  5. Step 5: Solve for x
    x = 1,004,572.45/1,402
  6. Step 6: Final answer
    x = 716.53

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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.