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Finding the Fourth Proportional to 870.86, 1,201.81 and 492.72

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Solution

The fourth proportional to 870.86, 1,201.81 and 492.72 is: 679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.86 : 1,201.81 = 492.72 : x
  2. Step 2: Convert to fraction form
    870.86/1,201.81 = 492.72/x
  3. Step 3: Cross multiply
    870.86x = 1,201.81 × 492.72
  4. Step 4: Simplify right side
    870.86x = 592,156.44
  5. Step 5: Solve for x
    x = 592,156.44/870.86
  6. Step 6: Final answer
    x = 679.97

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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.