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Finding the Fourth Proportional to 964.34, 1,330.80 and 571.40

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Solution

The fourth proportional to 964.34, 1,330.80 and 571.40 is: 788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.34 : 1,330.80 = 571.40 : x
  2. Step 2: Convert to fraction form
    964.34/1,330.80 = 571.40/x
  3. Step 3: Cross multiply
    964.34x = 1,330.80 × 571.40
  4. Step 4: Simplify right side
    964.34x = 760,419.12
  5. Step 5: Solve for x
    x = 760,419.12/964.34
  6. Step 6: Final answer
    x = 788.54

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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.