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Finding the Fourth Proportional to 1,050.12, 1,580.68 and 949.58

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Solution

The fourth proportional to 1,050.12, 1,580.68 and 949.58 is: 1,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.12 : 1,580.68 = 949.58 : x
  2. Step 2: Convert to fraction form
    1,050.12/1,580.68 = 949.58/x
  3. Step 3: Cross multiply
    1,050.12x = 1,580.68 × 949.58
  4. Step 4: Simplify right side
    1,050.12x = 1,500,982.11
  5. Step 5: Solve for x
    x = 1,500,982.11/1,050.12
  6. Step 6: Final answer
    x = 1,429.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.