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Finding the Fourth Proportional to 920.06, 1,269.64 and 521.72

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Solution

The fourth proportional to 920.06, 1,269.64 and 521.72 is: 719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.06 : 1,269.64 = 521.72 : x
  2. Step 2: Convert to fraction form
    920.06/1,269.64 = 521.72/x
  3. Step 3: Cross multiply
    920.06x = 1,269.64 × 521.72
  4. Step 4: Simplify right side
    920.06x = 662,398.45
  5. Step 5: Solve for x
    x = 662,398.45/920.06
  6. Step 6: Final answer
    x = 719.96

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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.