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Finding the Fourth Proportional to 1,076, 1,614 and 392

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Solution

The fourth proportional to 1,076, 1,614 and 392 is: 588

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076 : 1,614 = 392 : x
  2. Step 2: Convert to fraction form
    1,076/1,614 = 392/x
  3. Step 3: Cross multiply
    1,076x = 1,614 × 392
  4. Step 4: Simplify right side
    1,076x = 632,688
  5. Step 5: Solve for x
    x = 632,688/1,076
  6. Step 6: Final answer
    x = 588

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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.