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Finding the Fourth Proportional to 1,123.25, 1,684.41 and 465.11

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Solution

The fourth proportional to 1,123.25, 1,684.41 and 465.11 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.25 : 1,684.41 = 465.11 : x
  2. Step 2: Convert to fraction form
    1,123.25/1,684.41 = 465.11/x
  3. Step 3: Cross multiply
    1,123.25x = 1,684.41 × 465.11
  4. Step 4: Simplify right side
    1,123.25x = 783,427.51
  5. Step 5: Solve for x
    x = 783,427.51/1,123.25
  6. Step 6: Final answer
    x = 697.47

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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.