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Finding the Fourth Proportional to 1,303.58, 1,798.44 and 744.08

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Solution

The fourth proportional to 1,303.58, 1,798.44 and 744.08 is: 1,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.58 : 1,798.44 = 744.08 : x
  2. Step 2: Convert to fraction form
    1,303.58/1,798.44 = 744.08/x
  3. Step 3: Cross multiply
    1,303.58x = 1,798.44 × 744.08
  4. Step 4: Simplify right side
    1,303.58x = 1,338,183.24
  5. Step 5: Solve for x
    x = 1,338,183.24/1,303.58
  6. Step 6: Final answer
    x = 1,026.54

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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.