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Finding the Fourth Proportional to 972.86, 1,459.49 and 323.57

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Solution

The fourth proportional to 972.86, 1,459.49 and 323.57 is: 485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,459.49 = 323.57 : x
  2. Step 2: Convert to fraction form
    972.86/1,459.49 = 323.57/x
  3. Step 3: Cross multiply
    972.86x = 1,459.49 × 323.57
  4. Step 4: Simplify right side
    972.86x = 472,249.21
  5. Step 5: Solve for x
    x = 472,249.21/972.86
  6. Step 6: Final answer
    x = 485.43

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Half scale
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Double scale
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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.