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Finding the Fourth Proportional to 1,165.27, 1,746.69 and 434.53

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Solution

The fourth proportional to 1,165.27, 1,746.69 and 434.53 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.27 : 1,746.69 = 434.53 : x
  2. Step 2: Convert to fraction form
    1,165.27/1,746.69 = 434.53/x
  3. Step 3: Cross multiply
    1,165.27x = 1,746.69 × 434.53
  4. Step 4: Simplify right side
    1,165.27x = 758,989.21
  5. Step 5: Solve for x
    x = 758,989.21/1,165.27
  6. Step 6: Final answer
    x = 651.34

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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.