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Finding the Fourth Proportional to 1,386.57, 1,913.45 and 757.10

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Solution

The fourth proportional to 1,386.57, 1,913.45 and 757.10 is: 1,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.57 : 1,913.45 = 757.10 : x
  2. Step 2: Convert to fraction form
    1,386.57/1,913.45 = 757.10/x
  3. Step 3: Cross multiply
    1,386.57x = 1,913.45 × 757.10
  4. Step 4: Simplify right side
    1,386.57x = 1,448,667.11
  5. Step 5: Solve for x
    x = 1,448,667.11/1,386.57
  6. Step 6: Final answer
    x = 1,044.78

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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.