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Finding the Fourth Proportional to 1,680, 2,520 and 464

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Solution

The fourth proportional to 1,680, 2,520 and 464 is: 696

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,520 = 464 : x
  2. Step 2: Convert to fraction form
    1,680/2,520 = 464/x
  3. Step 3: Cross multiply
    1,680x = 2,520 × 464
  4. Step 4: Simplify right side
    1,680x = 1,169,280
  5. Step 5: Solve for x
    x = 1,169,280/1,680
  6. Step 6: Final answer
    x = 696

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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.