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Finding the Fourth Proportional to 1,675.94, 2,511.84 and 579.02

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Solution

The fourth proportional to 1,675.94, 2,511.84 and 579.02 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.94 : 2,511.84 = 579.02 : x
  2. Step 2: Convert to fraction form
    1,675.94/2,511.84 = 579.02/x
  3. Step 3: Cross multiply
    1,675.94x = 2,511.84 × 579.02
  4. Step 4: Simplify right side
    1,675.94x = 1,454,411.52
  5. Step 5: Solve for x
    x = 1,454,411.52/1,675.94
  6. Step 6: Final answer
    x = 867.82

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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.