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Finding the Fourth Proportional to 1,327.31, 1,989.08 and 977.90

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Solution

The fourth proportional to 1,327.31, 1,989.08 and 977.90 is: 1,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.31 : 1,989.08 = 977.90 : x
  2. Step 2: Convert to fraction form
    1,327.31/1,989.08 = 977.90/x
  3. Step 3: Cross multiply
    1,327.31x = 1,989.08 × 977.90
  4. Step 4: Simplify right side
    1,327.31x = 1,945,106.50
  5. Step 5: Solve for x
    x = 1,945,106.50/1,327.31
  6. Step 6: Final answer
    x = 1,465.46

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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.