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Finding the Fourth Proportional to 1,630.49, 2,446.41 and 705.57

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Solution

The fourth proportional to 1,630.49, 2,446.41 and 705.57 is: 1,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.49 : 2,446.41 = 705.57 : x
  2. Step 2: Convert to fraction form
    1,630.49/2,446.41 = 705.57/x
  3. Step 3: Cross multiply
    1,630.49x = 2,446.41 × 705.57
  4. Step 4: Simplify right side
    1,630.49x = 1,726,113.50
  5. Step 5: Solve for x
    x = 1,726,113.50/1,630.49
  6. Step 6: Final answer
    x = 1,058.65

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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.