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Finding the Fourth Proportional to 810.60, 1,215.98 and 262.66

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Solution

The fourth proportional to 810.60, 1,215.98 and 262.66 is: 394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.60 : 1,215.98 = 262.66 : x
  2. Step 2: Convert to fraction form
    810.60/1,215.98 = 262.66/x
  3. Step 3: Cross multiply
    810.60x = 1,215.98 × 262.66
  4. Step 4: Simplify right side
    810.60x = 319,389.31
  5. Step 5: Solve for x
    x = 319,389.31/810.60
  6. Step 6: Final answer
    x = 394.02

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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.