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Finding the Fourth Proportional to 1,328.92, 1,833.28 and 1,032.16

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Solution

The fourth proportional to 1,328.92, 1,833.28 and 1,032.16 is: 1,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.92 : 1,833.28 = 1,032.16 : x
  2. Step 2: Convert to fraction form
    1,328.92/1,833.28 = 1,032.16/x
  3. Step 3: Cross multiply
    1,328.92x = 1,833.28 × 1,032.16
  4. Step 4: Simplify right side
    1,328.92x = 1,892,240.36
  5. Step 5: Solve for x
    x = 1,892,240.36/1,328.92
  6. Step 6: Final answer
    x = 1,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.