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Finding the Fourth Proportional to 1,262.86, 1,742.73 and 864.52

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Solution

The fourth proportional to 1,262.86, 1,742.73 and 864.52 is: 1,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.86 : 1,742.73 = 864.52 : x
  2. Step 2: Convert to fraction form
    1,262.86/1,742.73 = 864.52/x
  3. Step 3: Cross multiply
    1,262.86x = 1,742.73 × 864.52
  4. Step 4: Simplify right side
    1,262.86x = 1,506,617.15
  5. Step 5: Solve for x
    x = 1,506,617.15/1,262.86
  6. Step 6: Final answer
    x = 1,193.02

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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.