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Finding the Fourth Proportional to 1,294.87, 1,786.86 and 705.41

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Solution

The fourth proportional to 1,294.87, 1,786.86 and 705.41 is: 973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.87 : 1,786.86 = 705.41 : x
  2. Step 2: Convert to fraction form
    1,294.87/1,786.86 = 705.41/x
  3. Step 3: Cross multiply
    1,294.87x = 1,786.86 × 705.41
  4. Step 4: Simplify right side
    1,294.87x = 1,260,459.98
  5. Step 5: Solve for x
    x = 1,260,459.98/1,294.87
  6. Step 6: Final answer
    x = 973.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.