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Finding the Fourth Proportional to 1,429, 2,143.50 and 403

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Solution

The fourth proportional to 1,429, 2,143.50 and 403 is: 604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429 : 2,143.50 = 403 : x
  2. Step 2: Convert to fraction form
    1,429/2,143.50 = 403/x
  3. Step 3: Cross multiply
    1,429x = 2,143.50 × 403
  4. Step 4: Simplify right side
    1,429x = 863,830.50
  5. Step 5: Solve for x
    x = 863,830.50/1,429
  6. Step 6: Final answer
    x = 604.50

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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.