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Finding the Fourth Proportional to 1,698, 2,547 and 482

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Solution

The fourth proportional to 1,698, 2,547 and 482 is: 723

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,547 = 482 : x
  2. Step 2: Convert to fraction form
    1,698/2,547 = 482/x
  3. Step 3: Cross multiply
    1,698x = 2,547 × 482
  4. Step 4: Simplify right side
    1,698x = 1,227,654
  5. Step 5: Solve for x
    x = 1,227,654/1,698
  6. Step 6: Final answer
    x = 723

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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.