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Finding the Fourth Proportional to 954.64, 1,430.84 and 770.96

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Solution

The fourth proportional to 954.64, 1,430.84 and 770.96 is: 1,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.64 : 1,430.84 = 770.96 : x
  2. Step 2: Convert to fraction form
    954.64/1,430.84 = 770.96/x
  3. Step 3: Cross multiply
    954.64x = 1,430.84 × 770.96
  4. Step 4: Simplify right side
    954.64x = 1,103,120.41
  5. Step 5: Solve for x
    x = 1,103,120.41/954.64
  6. Step 6: Final answer
    x = 1,155.54

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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.