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Finding the Fourth Proportional to 832.74, 1,149.16 and 478.56

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Solution

The fourth proportional to 832.74, 1,149.16 and 478.56 is: 660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.74 : 1,149.16 = 478.56 : x
  2. Step 2: Convert to fraction form
    832.74/1,149.16 = 478.56/x
  3. Step 3: Cross multiply
    832.74x = 1,149.16 × 478.56
  4. Step 4: Simplify right side
    832.74x = 549,942.01
  5. Step 5: Solve for x
    x = 549,942.01/832.74
  6. Step 6: Final answer
    x = 660.40

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1.5x scale

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.