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Finding the Fourth Proportional to 954.70, 1,333.70 and 954.70

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Solution

The fourth proportional to 954.70, 1,333.70 and 954.70 is: 1,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.70 : 1,333.70 = 954.70 : x
  2. Step 2: Convert to fraction form
    954.70/1,333.70 = 954.70/x
  3. Step 3: Cross multiply
    954.70x = 1,333.70 × 954.70
  4. Step 4: Simplify right side
    954.70x = 1,273,283.39
  5. Step 5: Solve for x
    x = 1,273,283.39/954.70
  6. Step 6: Final answer
    x = 1,333.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.