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Finding the Fourth Proportional to 1,326.29, 1,829.90 and 1,045.65

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Solution

The fourth proportional to 1,326.29, 1,829.90 and 1,045.65 is: 1,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.29 : 1,829.90 = 1,045.65 : x
  2. Step 2: Convert to fraction form
    1,326.29/1,829.90 = 1,045.65/x
  3. Step 3: Cross multiply
    1,326.29x = 1,829.90 × 1,045.65
  4. Step 4: Simplify right side
    1,326.29x = 1,913,429.71
  5. Step 5: Solve for x
    x = 1,913,429.71/1,326.29
  6. Step 6: Final answer
    x = 1,442.70

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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.