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Finding the Fourth Proportional to 1,046.56, 1,570.56 and 362.56

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Solution

The fourth proportional to 1,046.56, 1,570.56 and 362.56 is: 544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.56 : 1,570.56 = 362.56 : x
  2. Step 2: Convert to fraction form
    1,046.56/1,570.56 = 362.56/x
  3. Step 3: Cross multiply
    1,046.56x = 1,570.56 × 362.56
  4. Step 4: Simplify right side
    1,046.56x = 569,422.23
  5. Step 5: Solve for x
    x = 569,422.23/1,046.56
  6. Step 6: Final answer
    x = 544.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.