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Finding the Fourth Proportional to 1,301.46, 1,951.57 and 570.84

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Solution

The fourth proportional to 1,301.46, 1,951.57 and 570.84 is: 855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.46 : 1,951.57 = 570.84 : x
  2. Step 2: Convert to fraction form
    1,301.46/1,951.57 = 570.84/x
  3. Step 3: Cross multiply
    1,301.46x = 1,951.57 × 570.84
  4. Step 4: Simplify right side
    1,301.46x = 1,114,034.22
  5. Step 5: Solve for x
    x = 1,114,034.22/1,301.46
  6. Step 6: Final answer
    x = 855.99

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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.