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Finding the Fourth Proportional to 1,354.64, 2,032.12 and 430.24

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Solution

The fourth proportional to 1,354.64, 2,032.12 and 430.24 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.64 : 2,032.12 = 430.24 : x
  2. Step 2: Convert to fraction form
    1,354.64/2,032.12 = 430.24/x
  3. Step 3: Cross multiply
    1,354.64x = 2,032.12 × 430.24
  4. Step 4: Simplify right side
    1,354.64x = 874,299.31
  5. Step 5: Solve for x
    x = 874,299.31/1,354.64
  6. Step 6: Final answer
    x = 645.41

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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.