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Finding the Fourth Proportional to 1,320.02, 1,980.64 and 832.80

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Solution

The fourth proportional to 1,320.02, 1,980.64 and 832.80 is: 1,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.02 : 1,980.64 = 832.80 : x
  2. Step 2: Convert to fraction form
    1,320.02/1,980.64 = 832.80/x
  3. Step 3: Cross multiply
    1,320.02x = 1,980.64 × 832.80
  4. Step 4: Simplify right side
    1,320.02x = 1,649,476.99
  5. Step 5: Solve for x
    x = 1,649,476.99/1,320.02
  6. Step 6: Final answer
    x = 1,249.58

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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.