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Finding the Fourth Proportional to 1,223.13, 1,834.98 and 675.18

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Solution

The fourth proportional to 1,223.13, 1,834.98 and 675.18 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.13 : 1,834.98 = 675.18 : x
  2. Step 2: Convert to fraction form
    1,223.13/1,834.98 = 675.18/x
  3. Step 3: Cross multiply
    1,223.13x = 1,834.98 × 675.18
  4. Step 4: Simplify right side
    1,223.13x = 1,238,941.80
  5. Step 5: Solve for x
    x = 1,238,941.80/1,223.13
  6. Step 6: Final answer
    x = 1,012.93

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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.