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Finding the Fourth Proportional to 1,003.89, 1,506.14 and 455.63

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Solution

The fourth proportional to 1,003.89, 1,506.14 and 455.63 is: 683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.89 : 1,506.14 = 455.63 : x
  2. Step 2: Convert to fraction form
    1,003.89/1,506.14 = 455.63/x
  3. Step 3: Cross multiply
    1,003.89x = 1,506.14 × 455.63
  4. Step 4: Simplify right side
    1,003.89x = 686,237.03
  5. Step 5: Solve for x
    x = 686,237.03/1,003.89
  6. Step 6: Final answer
    x = 683.58

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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.