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Finding the Fourth Proportional to 706.60, 974.84 and 540.56

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Solution

The fourth proportional to 706.60, 974.84 and 540.56 is: 745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 974.84 = 540.56 : x
  2. Step 2: Convert to fraction form
    706.60/974.84 = 540.56/x
  3. Step 3: Cross multiply
    706.60x = 974.84 × 540.56
  4. Step 4: Simplify right side
    706.60x = 526,959.51
  5. Step 5: Solve for x
    x = 526,959.51/706.60
  6. Step 6: Final answer
    x = 745.77

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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.