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Finding the Fourth Proportional to 1,303.14, 1,798.30 and 743.60

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Solution

The fourth proportional to 1,303.14, 1,798.30 and 743.60 is: 1,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.14 : 1,798.30 = 743.60 : x
  2. Step 2: Convert to fraction form
    1,303.14/1,798.30 = 743.60/x
  3. Step 3: Cross multiply
    1,303.14x = 1,798.30 × 743.60
  4. Step 4: Simplify right side
    1,303.14x = 1,337,215.88
  5. Step 5: Solve for x
    x = 1,337,215.88/1,303.14
  6. Step 6: Final answer
    x = 1,026.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.