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Finding the Fourth Proportional to 1,024.70, 1,414.20 and 626.39

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Solution

The fourth proportional to 1,024.70, 1,414.20 and 626.39 is: 864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.70 : 1,414.20 = 626.39 : x
  2. Step 2: Convert to fraction form
    1,024.70/1,414.20 = 626.39/x
  3. Step 3: Cross multiply
    1,024.70x = 1,414.20 × 626.39
  4. Step 4: Simplify right side
    1,024.70x = 885,833.67
  5. Step 5: Solve for x
    x = 885,833.67/1,024.70
  6. Step 6: Final answer
    x = 864.49

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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.