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Finding the Fourth Proportional to 954, 1,431.48 and 434.16

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Solution

The fourth proportional to 954, 1,431.48 and 434.16 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    954 : 1,431.48 = 434.16 : x
  2. Step 2: Convert to fraction form
    954/1,431.48 = 434.16/x
  3. Step 3: Cross multiply
    954x = 1,431.48 × 434.16
  4. Step 4: Simplify right side
    954x = 621,491.36
  5. Step 5: Solve for x
    x = 621,491.36/954
  6. Step 6: Final answer
    x = 651.46

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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.