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Finding the Fourth Proportional to 1,036.04, 1,429.73 and 570.29

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Solution

The fourth proportional to 1,036.04, 1,429.73 and 570.29 is: 786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.04 : 1,429.73 = 570.29 : x
  2. Step 2: Convert to fraction form
    1,036.04/1,429.73 = 570.29/x
  3. Step 3: Cross multiply
    1,036.04x = 1,429.73 × 570.29
  4. Step 4: Simplify right side
    1,036.04x = 815,350.72
  5. Step 5: Solve for x
    x = 815,350.72/1,036.04
  6. Step 6: Final answer
    x = 786.99

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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.