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Finding the Fourth Proportional to 1,046.03, 1,570.06 and 559.43

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Solution

The fourth proportional to 1,046.03, 1,570.06 and 559.43 is: 839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.03 : 1,570.06 = 559.43 : x
  2. Step 2: Convert to fraction form
    1,046.03/1,570.06 = 559.43/x
  3. Step 3: Cross multiply
    1,046.03x = 1,570.06 × 559.43
  4. Step 4: Simplify right side
    1,046.03x = 878,330.82
  5. Step 5: Solve for x
    x = 878,330.82/1,046.03
  6. Step 6: Final answer
    x = 839.68

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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.