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Finding the Fourth Proportional to 954.25, 1,430.15 and 830.33

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Solution

The fourth proportional to 954.25, 1,430.15 and 830.33 is: 1,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.25 : 1,430.15 = 830.33 : x
  2. Step 2: Convert to fraction form
    954.25/1,430.15 = 830.33/x
  3. Step 3: Cross multiply
    954.25x = 1,430.15 × 830.33
  4. Step 4: Simplify right side
    954.25x = 1,187,500.89
  5. Step 5: Solve for x
    x = 1,187,500.89/954.25
  6. Step 6: Final answer
    x = 1,244.44

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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.