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Finding the Fourth Proportional to 947.54, 1,306.86 and 652.70

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Solution

The fourth proportional to 947.54, 1,306.86 and 652.70 is: 900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,306.86 = 652.70 : x
  2. Step 2: Convert to fraction form
    947.54/1,306.86 = 652.70/x
  3. Step 3: Cross multiply
    947.54x = 1,306.86 × 652.70
  4. Step 4: Simplify right side
    947.54x = 852,987.52
  5. Step 5: Solve for x
    x = 852,987.52/947.54
  6. Step 6: Final answer
    x = 900.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.