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Finding the Fourth Proportional to 1,123.20, 1,550.20 and 651.12

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Solution

The fourth proportional to 1,123.20, 1,550.20 and 651.12 is: 898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.20 : 1,550.20 = 651.12 : x
  2. Step 2: Convert to fraction form
    1,123.20/1,550.20 = 651.12/x
  3. Step 3: Cross multiply
    1,123.20x = 1,550.20 × 651.12
  4. Step 4: Simplify right side
    1,123.20x = 1,009,366.22
  5. Step 5: Solve for x
    x = 1,009,366.22/1,123.20
  6. Step 6: Final answer
    x = 898.65

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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.