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Finding the Fourth Proportional to 1,713.01, 2,569.31 and 673.78

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Solution

The fourth proportional to 1,713.01, 2,569.31 and 673.78 is: 1,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.01 : 2,569.31 = 673.78 : x
  2. Step 2: Convert to fraction form
    1,713.01/2,569.31 = 673.78/x
  3. Step 3: Cross multiply
    1,713.01x = 2,569.31 × 673.78
  4. Step 4: Simplify right side
    1,713.01x = 1,731,133.48
  5. Step 5: Solve for x
    x = 1,731,133.48/1,713.01
  6. Step 6: Final answer
    x = 1,010.58

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1.5x scale

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.