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Finding the Fourth Proportional to 1,354.49, 2,032.65 and 661.49

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Solution

The fourth proportional to 1,354.49, 2,032.65 and 661.49 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.49 : 2,032.65 = 661.49 : x
  2. Step 2: Convert to fraction form
    1,354.49/2,032.65 = 661.49/x
  3. Step 3: Cross multiply
    1,354.49x = 2,032.65 × 661.49
  4. Step 4: Simplify right side
    1,354.49x = 1,344,577.65
  5. Step 5: Solve for x
    x = 1,344,577.65/1,354.49
  6. Step 6: Final answer
    x = 992.68

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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.