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Finding the Fourth Proportional to 1,386.77, 1,913.72 and 757.29

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Solution

The fourth proportional to 1,386.77, 1,913.72 and 757.29 is: 1,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.77 : 1,913.72 = 757.29 : x
  2. Step 2: Convert to fraction form
    1,386.77/1,913.72 = 757.29/x
  3. Step 3: Cross multiply
    1,386.77x = 1,913.72 × 757.29
  4. Step 4: Simplify right side
    1,386.77x = 1,449,241.02
  5. Step 5: Solve for x
    x = 1,449,241.02/1,386.77
  6. Step 6: Final answer
    x = 1,045.05

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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.