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Finding the Fourth Proportional to 1,419.78, 2,130.08 and 445.90

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Solution

The fourth proportional to 1,419.78, 2,130.08 and 445.90 is: 668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.78 : 2,130.08 = 445.90 : x
  2. Step 2: Convert to fraction form
    1,419.78/2,130.08 = 445.90/x
  3. Step 3: Cross multiply
    1,419.78x = 2,130.08 × 445.90
  4. Step 4: Simplify right side
    1,419.78x = 949,802.67
  5. Step 5: Solve for x
    x = 949,802.67/1,419.78
  6. Step 6: Final answer
    x = 668.98

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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.