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Finding the Fourth Proportional to 954.47, 1,431.37 and 434.04

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Solution

The fourth proportional to 954.47, 1,431.37 and 434.04 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.47 : 1,431.37 = 434.04 : x
  2. Step 2: Convert to fraction form
    954.47/1,431.37 = 434.04/x
  3. Step 3: Cross multiply
    954.47x = 1,431.37 × 434.04
  4. Step 4: Simplify right side
    954.47x = 621,262.51
  5. Step 5: Solve for x
    x = 621,262.51/954.47
  6. Step 6: Final answer
    x = 650.90

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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.