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Finding the Fourth Proportional to 1,386.35, 1,913.16 and 756.88

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Solution

The fourth proportional to 1,386.35, 1,913.16 and 756.88 is: 1,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.35 : 1,913.16 = 756.88 : x
  2. Step 2: Convert to fraction form
    1,386.35/1,913.16 = 756.88/x
  3. Step 3: Cross multiply
    1,386.35x = 1,913.16 × 756.88
  4. Step 4: Simplify right side
    1,386.35x = 1,448,032.54
  5. Step 5: Solve for x
    x = 1,448,032.54/1,386.35
  6. Step 6: Final answer
    x = 1,044.49

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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.