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Finding the Fourth Proportional to 1,752.36, 2,626.26 and 711.14

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Solution

The fourth proportional to 1,752.36, 2,626.26 and 711.14 is: 1,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.36 : 2,626.26 = 711.14 : x
  2. Step 2: Convert to fraction form
    1,752.36/2,626.26 = 711.14/x
  3. Step 3: Cross multiply
    1,752.36x = 2,626.26 × 711.14
  4. Step 4: Simplify right side
    1,752.36x = 1,867,638.54
  5. Step 5: Solve for x
    x = 1,867,638.54/1,752.36
  6. Step 6: Final answer
    x = 1,065.78

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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.