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Finding the Fourth Proportional to 1,386.68, 2,078.46 and 564.84

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Solution

The fourth proportional to 1,386.68, 2,078.46 and 564.84 is: 846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.68 : 2,078.46 = 564.84 : x
  2. Step 2: Convert to fraction form
    1,386.68/2,078.46 = 564.84/x
  3. Step 3: Cross multiply
    1,386.68x = 2,078.46 × 564.84
  4. Step 4: Simplify right side
    1,386.68x = 1,173,997.35
  5. Step 5: Solve for x
    x = 1,173,997.35/1,386.68
  6. Step 6: Final answer
    x = 846.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.