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Finding the Fourth Proportional to 3,298.00, 4,946.57 and 832.67

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Solution

The fourth proportional to 3,298.00, 4,946.57 and 832.67 is: 1,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.00 : 4,946.57 = 832.67 : x
  2. Step 2: Convert to fraction form
    3,298.00/4,946.57 = 832.67/x
  3. Step 3: Cross multiply
    3,298.00x = 4,946.57 × 832.67
  4. Step 4: Simplify right side
    3,298.00x = 4,118,831.55
  5. Step 5: Solve for x
    x = 4,118,831.55/3,298.00
  6. Step 6: Final answer
    x = 1,248.89

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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.