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Finding the Fourth Proportional to 954.96, 1,431.23 and 407.00

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Solution

The fourth proportional to 954.96, 1,431.23 and 407.00 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.96 : 1,431.23 = 407.00 : x
  2. Step 2: Convert to fraction form
    954.96/1,431.23 = 407.00/x
  3. Step 3: Cross multiply
    954.96x = 1,431.23 × 407.00
  4. Step 4: Simplify right side
    954.96x = 582,501.42
  5. Step 5: Solve for x
    x = 582,501.42/954.96
  6. Step 6: Final answer
    x = 609.97

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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.