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Finding the Fourth Proportional to 1,123.77, 1,684.68 and 465.24

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Solution

The fourth proportional to 1,123.77, 1,684.68 and 465.24 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.77 : 1,684.68 = 465.24 : x
  2. Step 2: Convert to fraction form
    1,123.77/1,684.68 = 465.24/x
  3. Step 3: Cross multiply
    1,123.77x = 1,684.68 × 465.24
  4. Step 4: Simplify right side
    1,123.77x = 783,780.52
  5. Step 5: Solve for x
    x = 783,780.52/1,123.77
  6. Step 6: Final answer
    x = 697.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.