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Finding the Fourth Proportional to 1,765.34, 2,648.38 and 669.68

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Solution

The fourth proportional to 1,765.34, 2,648.38 and 669.68 is: 1,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.34 : 2,648.38 = 669.68 : x
  2. Step 2: Convert to fraction form
    1,765.34/2,648.38 = 669.68/x
  3. Step 3: Cross multiply
    1,765.34x = 2,648.38 × 669.68
  4. Step 4: Simplify right side
    1,765.34x = 1,773,567.12
  5. Step 5: Solve for x
    x = 1,773,567.12/1,765.34
  6. Step 6: Final answer
    x = 1,004.66

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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.