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Finding the Fourth Proportional to 1,047.12, 1,570.68 and 397.74

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Solution

The fourth proportional to 1,047.12, 1,570.68 and 397.74 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.12 : 1,570.68 = 397.74 : x
  2. Step 2: Convert to fraction form
    1,047.12/1,570.68 = 397.74/x
  3. Step 3: Cross multiply
    1,047.12x = 1,570.68 × 397.74
  4. Step 4: Simplify right side
    1,047.12x = 624,722.26
  5. Step 5: Solve for x
    x = 624,722.26/1,047.12
  6. Step 6: Final answer
    x = 596.61

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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.