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Finding the Fourth Proportional to 1,002.58, 1,504.44 and 417.49

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Solution

The fourth proportional to 1,002.58, 1,504.44 and 417.49 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.58 : 1,504.44 = 417.49 : x
  2. Step 2: Convert to fraction form
    1,002.58/1,504.44 = 417.49/x
  3. Step 3: Cross multiply
    1,002.58x = 1,504.44 × 417.49
  4. Step 4: Simplify right side
    1,002.58x = 628,084.89
  5. Step 5: Solve for x
    x = 628,084.89/1,002.58
  6. Step 6: Final answer
    x = 626.47

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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.