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Finding the Fourth Proportional to 1,003.16, 1,504.71 and 454.95

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Solution

The fourth proportional to 1,003.16, 1,504.71 and 454.95 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.16 : 1,504.71 = 454.95 : x
  2. Step 2: Convert to fraction form
    1,003.16/1,504.71 = 454.95/x
  3. Step 3: Cross multiply
    1,003.16x = 1,504.71 × 454.95
  4. Step 4: Simplify right side
    1,003.16x = 684,567.81
  5. Step 5: Solve for x
    x = 684,567.81/1,003.16
  6. Step 6: Final answer
    x = 682.41

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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.