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Finding the Fourth Proportional to 1,326.06, 1,830.23 and 766.65

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Solution

The fourth proportional to 1,326.06, 1,830.23 and 766.65 is: 1,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.06 : 1,830.23 = 766.65 : x
  2. Step 2: Convert to fraction form
    1,326.06/1,830.23 = 766.65/x
  3. Step 3: Cross multiply
    1,326.06x = 1,830.23 × 766.65
  4. Step 4: Simplify right side
    1,326.06x = 1,403,145.83
  5. Step 5: Solve for x
    x = 1,403,145.83/1,326.06
  6. Step 6: Final answer
    x = 1,058.13

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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.