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Finding the Fourth Proportional to 1,076.32, 1,613.36 and 499.68

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Solution

The fourth proportional to 1,076.32, 1,613.36 and 499.68 is: 749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.32 : 1,613.36 = 499.68 : x
  2. Step 2: Convert to fraction form
    1,076.32/1,613.36 = 499.68/x
  3. Step 3: Cross multiply
    1,076.32x = 1,613.36 × 499.68
  4. Step 4: Simplify right side
    1,076.32x = 806,163.72
  5. Step 5: Solve for x
    x = 806,163.72/1,076.32
  6. Step 6: Final answer
    x = 749.00

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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.