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Finding the Fourth Proportional to 967.52, 1,334.32 and 760.16

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Solution

The fourth proportional to 967.52, 1,334.32 and 760.16 is: 1,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,334.32 = 760.16 : x
  2. Step 2: Convert to fraction form
    967.52/1,334.32 = 760.16/x
  3. Step 3: Cross multiply
    967.52x = 1,334.32 × 760.16
  4. Step 4: Simplify right side
    967.52x = 1,014,296.69
  5. Step 5: Solve for x
    x = 1,014,296.69/967.52
  6. Step 6: Final answer
    x = 1,048.35

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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.