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Finding the Fourth Proportional to 1,314, 1,971 and 402

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Solution

The fourth proportional to 1,314, 1,971 and 402 is: 603

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 1,971 = 402 : x
  2. Step 2: Convert to fraction form
    1,314/1,971 = 402/x
  3. Step 3: Cross multiply
    1,314x = 1,971 × 402
  4. Step 4: Simplify right side
    1,314x = 792,342
  5. Step 5: Solve for x
    x = 792,342/1,314
  6. Step 6: Final answer
    x = 603

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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.