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Finding the Fourth Proportional to 964.30, 1,330.72 and 571.46

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Solution

The fourth proportional to 964.30, 1,330.72 and 571.46 is: 788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.30 : 1,330.72 = 571.46 : x
  2. Step 2: Convert to fraction form
    964.30/1,330.72 = 571.46/x
  3. Step 3: Cross multiply
    964.30x = 1,330.72 × 571.46
  4. Step 4: Simplify right side
    964.30x = 760,453.25
  5. Step 5: Solve for x
    x = 760,453.25/964.30
  6. Step 6: Final answer
    x = 788.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.