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Finding the Fourth Proportional to 954.48, 1,429.74 and 770.88

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Solution

The fourth proportional to 954.48, 1,429.74 and 770.88 is: 1,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.48 : 1,429.74 = 770.88 : x
  2. Step 2: Convert to fraction form
    954.48/1,429.74 = 770.88/x
  3. Step 3: Cross multiply
    954.48x = 1,429.74 × 770.88
  4. Step 4: Simplify right side
    954.48x = 1,102,157.97
  5. Step 5: Solve for x
    x = 1,102,157.97/954.48
  6. Step 6: Final answer
    x = 1,154.72

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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.