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Finding the Fourth Proportional to 1,045.60, 1,568.86 and 429.46

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Solution

The fourth proportional to 1,045.60, 1,568.86 and 429.46 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.60 : 1,568.86 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,045.60/1,568.86 = 429.46/x
  3. Step 3: Cross multiply
    1,045.60x = 1,568.86 × 429.46
  4. Step 4: Simplify right side
    1,045.60x = 673,757.62
  5. Step 5: Solve for x
    x = 673,757.62/1,045.60
  6. Step 6: Final answer
    x = 644.38

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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.