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Finding the Fourth Proportional to 1,004.36, 1,506.05 and 456.17

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Solution

The fourth proportional to 1,004.36, 1,506.05 and 456.17 is: 684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.36 : 1,506.05 = 456.17 : x
  2. Step 2: Convert to fraction form
    1,004.36/1,506.05 = 456.17/x
  3. Step 3: Cross multiply
    1,004.36x = 1,506.05 × 456.17
  4. Step 4: Simplify right side
    1,004.36x = 687,005.02
  5. Step 5: Solve for x
    x = 687,005.02/1,004.36
  6. Step 6: Final answer
    x = 684.03

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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.