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Finding the Fourth Proportional to 1,354.70, 2,032.14 and 661.94

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Solution

The fourth proportional to 1,354.70, 2,032.14 and 661.94 is: 992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.70 : 2,032.14 = 661.94 : x
  2. Step 2: Convert to fraction form
    1,354.70/2,032.14 = 661.94/x
  3. Step 3: Cross multiply
    1,354.70x = 2,032.14 × 661.94
  4. Step 4: Simplify right side
    1,354.70x = 1,345,154.75
  5. Step 5: Solve for x
    x = 1,345,154.75/1,354.70
  6. Step 6: Final answer
    x = 992.96

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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.