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Finding the Fourth Proportional to 1,675.84, 2,512.08 and 580

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Solution

The fourth proportional to 1,675.84, 2,512.08 and 580 is: 869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.84 : 2,512.08 = 580 : x
  2. Step 2: Convert to fraction form
    1,675.84/2,512.08 = 580/x
  3. Step 3: Cross multiply
    1,675.84x = 2,512.08 × 580
  4. Step 4: Simplify right side
    1,675.84x = 1,457,006.40
  5. Step 5: Solve for x
    x = 1,457,006.40/1,675.84
  6. Step 6: Final answer
    x = 869.42

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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.