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Finding the Fourth Proportional to 1,123.60, 1,550.36 and 626.22

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Solution

The fourth proportional to 1,123.60, 1,550.36 and 626.22 is: 864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.60 : 1,550.36 = 626.22 : x
  2. Step 2: Convert to fraction form
    1,123.60/1,550.36 = 626.22/x
  3. Step 3: Cross multiply
    1,123.60x = 1,550.36 × 626.22
  4. Step 4: Simplify right side
    1,123.60x = 970,866.44
  5. Step 5: Solve for x
    x = 970,866.44/1,123.60
  6. Step 6: Final answer
    x = 864.07

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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.