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Finding the Fourth Proportional to 1,350.61, 2,026.31 and 570.94

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Solution

The fourth proportional to 1,350.61, 2,026.31 and 570.94 is: 856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.61 : 2,026.31 = 570.94 : x
  2. Step 2: Convert to fraction form
    1,350.61/2,026.31 = 570.94/x
  3. Step 3: Cross multiply
    1,350.61x = 2,026.31 × 570.94
  4. Step 4: Simplify right side
    1,350.61x = 1,156,901.43
  5. Step 5: Solve for x
    x = 1,156,901.43/1,350.61
  6. Step 6: Final answer
    x = 856.58

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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.