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Finding the Fourth Proportional to 1,086.59, 1,628.08 and 977.51

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Solution

The fourth proportional to 1,086.59, 1,628.08 and 977.51 is: 1,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.59 : 1,628.08 = 977.51 : x
  2. Step 2: Convert to fraction form
    1,086.59/1,628.08 = 977.51/x
  3. Step 3: Cross multiply
    1,086.59x = 1,628.08 × 977.51
  4. Step 4: Simplify right side
    1,086.59x = 1,591,453.90
  5. Step 5: Solve for x
    x = 1,591,453.90/1,086.59
  6. Step 6: Final answer
    x = 1,464.64

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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.