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Finding the Fourth Proportional to 1,354.28, 2,032.16 and 574.16

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Solution

The fourth proportional to 1,354.28, 2,032.16 and 574.16 is: 861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.28 : 2,032.16 = 574.16 : x
  2. Step 2: Convert to fraction form
    1,354.28/2,032.16 = 574.16/x
  3. Step 3: Cross multiply
    1,354.28x = 2,032.16 × 574.16
  4. Step 4: Simplify right side
    1,354.28x = 1,166,784.99
  5. Step 5: Solve for x
    x = 1,166,784.99/1,354.28
  6. Step 6: Final answer
    x = 861.55

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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.