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Finding the Fourth Proportional to 1,354.64, 2,032.08 and 488.96

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Solution

The fourth proportional to 1,354.64, 2,032.08 and 488.96 is: 733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.64 : 2,032.08 = 488.96 : x
  2. Step 2: Convert to fraction form
    1,354.64/2,032.08 = 488.96/x
  3. Step 3: Cross multiply
    1,354.64x = 2,032.08 × 488.96
  4. Step 4: Simplify right side
    1,354.64x = 993,605.84
  5. Step 5: Solve for x
    x = 993,605.84/1,354.64
  6. Step 6: Final answer
    x = 733.48

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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.