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Finding the Fourth Proportional to 1,160.63, 1,740.41 and 429.68

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Solution

The fourth proportional to 1,160.63, 1,740.41 and 429.68 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.63 : 1,740.41 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,160.63/1,740.41 = 429.68/x
  3. Step 3: Cross multiply
    1,160.63x = 1,740.41 × 429.68
  4. Step 4: Simplify right side
    1,160.63x = 747,819.50
  5. Step 5: Solve for x
    x = 747,819.50/1,160.63
  6. Step 6: Final answer
    x = 644.32

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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.