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Finding the Fourth Proportional to 1,046.12, 1,443.65 and 574.01

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Solution

The fourth proportional to 1,046.12, 1,443.65 and 574.01 is: 792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.12 : 1,443.65 = 574.01 : x
  2. Step 2: Convert to fraction form
    1,046.12/1,443.65 = 574.01/x
  3. Step 3: Cross multiply
    1,046.12x = 1,443.65 × 574.01
  4. Step 4: Simplify right side
    1,046.12x = 828,659.45
  5. Step 5: Solve for x
    x = 828,659.45/1,046.12
  6. Step 6: Final answer
    x = 792.13

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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.