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Finding the Fourth Proportional to 1,003.02, 1,502.60 and 570.48

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Solution

The fourth proportional to 1,003.02, 1,502.60 and 570.48 is: 854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.02 : 1,502.60 = 570.48 : x
  2. Step 2: Convert to fraction form
    1,003.02/1,502.60 = 570.48/x
  3. Step 3: Cross multiply
    1,003.02x = 1,502.60 × 570.48
  4. Step 4: Simplify right side
    1,003.02x = 857,200.40
  5. Step 5: Solve for x
    x = 857,200.40/1,003.02
  6. Step 6: Final answer
    x = 854.62

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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.