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Finding the Fourth Proportional to 967.80, 1,335.47 and 548.16

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Solution

The fourth proportional to 967.80, 1,335.47 and 548.16 is: 756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,335.47 = 548.16 : x
  2. Step 2: Convert to fraction form
    967.80/1,335.47 = 548.16/x
  3. Step 3: Cross multiply
    967.80x = 1,335.47 × 548.16
  4. Step 4: Simplify right side
    967.80x = 732,051.24
  5. Step 5: Solve for x
    x = 732,051.24/967.80
  6. Step 6: Final answer
    x = 756.41

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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.