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Finding the Fourth Proportional to 954.92, 1,430.24 and 829.92

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Solution

The fourth proportional to 954.92, 1,430.24 and 829.92 is: 1,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.92 : 1,430.24 = 829.92 : x
  2. Step 2: Convert to fraction form
    954.92/1,430.24 = 829.92/x
  3. Step 3: Cross multiply
    954.92x = 1,430.24 × 829.92
  4. Step 4: Simplify right side
    954.92x = 1,186,984.78
  5. Step 5: Solve for x
    x = 1,186,984.78/954.92
  6. Step 6: Final answer
    x = 1,243.02

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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.