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Finding the Fourth Proportional to 1,122.96, 1,684.32 and 353.52

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Solution

The fourth proportional to 1,122.96, 1,684.32 and 353.52 is: 530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.96 : 1,684.32 = 353.52 : x
  2. Step 2: Convert to fraction form
    1,122.96/1,684.32 = 353.52/x
  3. Step 3: Cross multiply
    1,122.96x = 1,684.32 × 353.52
  4. Step 4: Simplify right side
    1,122.96x = 595,440.81
  5. Step 5: Solve for x
    x = 595,440.81/1,122.96
  6. Step 6: Final answer
    x = 530.24

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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.