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Finding the Fourth Proportional to 1,354.58, 2,032.10 and 488.69

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Solution

The fourth proportional to 1,354.58, 2,032.10 and 488.69 is: 733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.58 : 2,032.10 = 488.69 : x
  2. Step 2: Convert to fraction form
    1,354.58/2,032.10 = 488.69/x
  3. Step 3: Cross multiply
    1,354.58x = 2,032.10 × 488.69
  4. Step 4: Simplify right side
    1,354.58x = 993,066.95
  5. Step 5: Solve for x
    x = 993,066.95/1,354.58
  6. Step 6: Final answer
    x = 733.12

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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.