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Finding the Fourth Proportional to 1,709.01, 2,559.20 and 977.31

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Solution

The fourth proportional to 1,709.01, 2,559.20 and 977.31 is: 1,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.01 : 2,559.20 = 977.31 : x
  2. Step 2: Convert to fraction form
    1,709.01/2,559.20 = 977.31/x
  3. Step 3: Cross multiply
    1,709.01x = 2,559.20 × 977.31
  4. Step 4: Simplify right side
    1,709.01x = 2,501,126.87
  5. Step 5: Solve for x
    x = 2,501,126.87/1,709.01
  6. Step 6: Final answer
    x = 1,463.49

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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.