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Finding the Fourth Proportional to 954.14, 1,433.09 and 913.13

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Solution

The fourth proportional to 954.14, 1,433.09 and 913.13 is: 1,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,433.09 = 913.13 : x
  2. Step 2: Convert to fraction form
    954.14/1,433.09 = 913.13/x
  3. Step 3: Cross multiply
    954.14x = 1,433.09 × 913.13
  4. Step 4: Simplify right side
    954.14x = 1,308,603.34
  5. Step 5: Solve for x
    x = 1,308,603.34/954.14
  6. Step 6: Final answer
    x = 1,371.50

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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.