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Finding the Fourth Proportional to 1,353.92, 2,030.78 and 429.46

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Solution

The fourth proportional to 1,353.92, 2,030.78 and 429.46 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.92 : 2,030.78 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,353.92/2,030.78 = 429.46/x
  3. Step 3: Cross multiply
    1,353.92x = 2,030.78 × 429.46
  4. Step 4: Simplify right side
    1,353.92x = 872,138.78
  5. Step 5: Solve for x
    x = 872,138.78/1,353.92
  6. Step 6: Final answer
    x = 644.16

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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.