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Finding the Fourth Proportional to 1,301.48, 1,951.52 and 570.21

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Solution

The fourth proportional to 1,301.48, 1,951.52 and 570.21 is: 855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.48 : 1,951.52 = 570.21 : x
  2. Step 2: Convert to fraction form
    1,301.48/1,951.52 = 570.21/x
  3. Step 3: Cross multiply
    1,301.48x = 1,951.52 × 570.21
  4. Step 4: Simplify right side
    1,301.48x = 1,112,766.46
  5. Step 5: Solve for x
    x = 1,112,766.46/1,301.48
  6. Step 6: Final answer
    x = 855.00

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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.