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Finding the Fourth Proportional to 1,335.29, 1,842.67 and 776.07

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Solution

The fourth proportional to 1,335.29, 1,842.67 and 776.07 is: 1,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.29 : 1,842.67 = 776.07 : x
  2. Step 2: Convert to fraction form
    1,335.29/1,842.67 = 776.07/x
  3. Step 3: Cross multiply
    1,335.29x = 1,842.67 × 776.07
  4. Step 4: Simplify right side
    1,335.29x = 1,430,040.91
  5. Step 5: Solve for x
    x = 1,430,040.91/1,335.29
  6. Step 6: Final answer
    x = 1,070.96

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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.