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Finding the Fourth Proportional to 1,764.40, 2,645.75 and 531.58

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Solution

The fourth proportional to 1,764.40, 2,645.75 and 531.58 is: 797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.40 : 2,645.75 = 531.58 : x
  2. Step 2: Convert to fraction form
    1,764.40/2,645.75 = 531.58/x
  3. Step 3: Cross multiply
    1,764.40x = 2,645.75 × 531.58
  4. Step 4: Simplify right side
    1,764.40x = 1,406,425.13
  5. Step 5: Solve for x
    x = 1,406,425.13/1,764.40
  6. Step 6: Final answer
    x = 797.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.