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Finding the Fourth Proportional to 954.36, 1,428.57 and 770.22

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Solution

The fourth proportional to 954.36, 1,428.57 and 770.22 is: 1,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.36 : 1,428.57 = 770.22 : x
  2. Step 2: Convert to fraction form
    954.36/1,428.57 = 770.22/x
  3. Step 3: Cross multiply
    954.36x = 1,428.57 × 770.22
  4. Step 4: Simplify right side
    954.36x = 1,100,313.19
  5. Step 5: Solve for x
    x = 1,100,313.19/954.36
  6. Step 6: Final answer
    x = 1,152.93

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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.