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Finding the Fourth Proportional to 967.53, 1,451.42 and 473.59

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Solution

The fourth proportional to 967.53, 1,451.42 and 473.59 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.53 : 1,451.42 = 473.59 : x
  2. Step 2: Convert to fraction form
    967.53/1,451.42 = 473.59/x
  3. Step 3: Cross multiply
    967.53x = 1,451.42 × 473.59
  4. Step 4: Simplify right side
    967.53x = 687,379.22
  5. Step 5: Solve for x
    x = 687,379.22/967.53
  6. Step 6: Final answer
    x = 710.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.