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Finding the Fourth Proportional to 1,779.88, 2,669.82 and 624.82

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Solution

The fourth proportional to 1,779.88, 2,669.82 and 624.82 is: 937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.88 : 2,669.82 = 624.82 : x
  2. Step 2: Convert to fraction form
    1,779.88/2,669.82 = 624.82/x
  3. Step 3: Cross multiply
    1,779.88x = 2,669.82 × 624.82
  4. Step 4: Simplify right side
    1,779.88x = 1,668,140.46
  5. Step 5: Solve for x
    x = 1,668,140.46/1,779.88
  6. Step 6: Final answer
    x = 937.22

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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.