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Finding the Fourth Proportional to 967.65, 1,335.35 and 525.55

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Solution

The fourth proportional to 967.65, 1,335.35 and 525.55 is: 725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.65 : 1,335.35 = 525.55 : x
  2. Step 2: Convert to fraction form
    967.65/1,335.35 = 525.55/x
  3. Step 3: Cross multiply
    967.65x = 1,335.35 × 525.55
  4. Step 4: Simplify right side
    967.65x = 701,791.17
  5. Step 5: Solve for x
    x = 701,791.17/967.65
  6. Step 6: Final answer
    x = 725.25

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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.