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Finding the Fourth Proportional to 1,326.03, 1,829.69 and 766.52

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Solution

The fourth proportional to 1,326.03, 1,829.69 and 766.52 is: 1,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.03 : 1,829.69 = 766.52 : x
  2. Step 2: Convert to fraction form
    1,326.03/1,829.69 = 766.52/x
  3. Step 3: Cross multiply
    1,326.03x = 1,829.69 × 766.52
  4. Step 4: Simplify right side
    1,326.03x = 1,402,481.00
  5. Step 5: Solve for x
    x = 1,402,481.00/1,326.03
  6. Step 6: Final answer
    x = 1,057.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.