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Finding the Fourth Proportional to 1,385.24, 1,911.67 and 795.74

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Solution

The fourth proportional to 1,385.24, 1,911.67 and 795.74 is: 1,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.24 : 1,911.67 = 795.74 : x
  2. Step 2: Convert to fraction form
    1,385.24/1,911.67 = 795.74/x
  3. Step 3: Cross multiply
    1,385.24x = 1,911.67 × 795.74
  4. Step 4: Simplify right side
    1,385.24x = 1,521,180.74
  5. Step 5: Solve for x
    x = 1,521,180.74/1,385.24
  6. Step 6: Final answer
    x = 1,098.14

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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.