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Finding the Fourth Proportional to 1,046, 1,569 and 362

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Solution

The fourth proportional to 1,046, 1,569 and 362 is: 543

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046 : 1,569 = 362 : x
  2. Step 2: Convert to fraction form
    1,046/1,569 = 362/x
  3. Step 3: Cross multiply
    1,046x = 1,569 × 362
  4. Step 4: Simplify right side
    1,046x = 567,978
  5. Step 5: Solve for x
    x = 567,978/1,046
  6. Step 6: Final answer
    x = 543

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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.