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Finding the Fourth Proportional to 601.40, 828.96 and 601.40

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Solution

The fourth proportional to 601.40, 828.96 and 601.40 is: 828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 828.96 = 601.40 : x
  2. Step 2: Convert to fraction form
    601.40/828.96 = 601.40/x
  3. Step 3: Cross multiply
    601.40x = 828.96 × 601.40
  4. Step 4: Simplify right side
    601.40x = 498,536.54
  5. Step 5: Solve for x
    x = 498,536.54/601.40
  6. Step 6: Final answer
    x = 828.96

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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.