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Finding the Fourth Proportional to 1,386.92, 1,913.78 and 797.64

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Solution

The fourth proportional to 1,386.92, 1,913.78 and 797.64 is: 1,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.92 : 1,913.78 = 797.64 : x
  2. Step 2: Convert to fraction form
    1,386.92/1,913.78 = 797.64/x
  3. Step 3: Cross multiply
    1,386.92x = 1,913.78 × 797.64
  4. Step 4: Simplify right side
    1,386.92x = 1,526,509.47
  5. Step 5: Solve for x
    x = 1,526,509.47/1,386.92
  6. Step 6: Final answer
    x = 1,100.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.