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Finding the Fourth Proportional to 1,368.10, 2,052.63 and 675.25

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Solution

The fourth proportional to 1,368.10, 2,052.63 and 675.25 is: 1,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.10 : 2,052.63 = 675.25 : x
  2. Step 2: Convert to fraction form
    1,368.10/2,052.63 = 675.25/x
  3. Step 3: Cross multiply
    1,368.10x = 2,052.63 × 675.25
  4. Step 4: Simplify right side
    1,368.10x = 1,386,047.35
  5. Step 5: Solve for x
    x = 1,386,047.35/1,368.10
  6. Step 6: Final answer
    x = 1,013.12

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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.