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Finding the Fourth Proportional to 954.79, 1,431.27 and 707.33

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Solution

The fourth proportional to 954.79, 1,431.27 and 707.33 is: 1,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.79 : 1,431.27 = 707.33 : x
  2. Step 2: Convert to fraction form
    954.79/1,431.27 = 707.33/x
  3. Step 3: Cross multiply
    954.79x = 1,431.27 × 707.33
  4. Step 4: Simplify right side
    954.79x = 1,012,383.79
  5. Step 5: Solve for x
    x = 1,012,383.79/954.79
  6. Step 6: Final answer
    x = 1,060.32

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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.