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Finding the Fourth Proportional to 1,303.06, 1,798.26 and 713.64

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Solution

The fourth proportional to 1,303.06, 1,798.26 and 713.64 is: 984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.06 : 1,798.26 = 713.64 : x
  2. Step 2: Convert to fraction form
    1,303.06/1,798.26 = 713.64/x
  3. Step 3: Cross multiply
    1,303.06x = 1,798.26 × 713.64
  4. Step 4: Simplify right side
    1,303.06x = 1,283,310.27
  5. Step 5: Solve for x
    x = 1,283,310.27/1,303.06
  6. Step 6: Final answer
    x = 984.84

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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.