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Finding the Fourth Proportional to 776.85, 1,165.47 and 290.04

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Solution

The fourth proportional to 776.85, 1,165.47 and 290.04 is: 435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,165.47 = 290.04 : x
  2. Step 2: Convert to fraction form
    776.85/1,165.47 = 290.04/x
  3. Step 3: Cross multiply
    776.85x = 1,165.47 × 290.04
  4. Step 4: Simplify right side
    776.85x = 338,032.92
  5. Step 5: Solve for x
    x = 338,032.92/776.85
  6. Step 6: Final answer
    x = 435.13

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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.