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Finding the Fourth Proportional to 1,032.86, 1,549.64 and 485.12

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Solution

The fourth proportional to 1,032.86, 1,549.64 and 485.12 is: 727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.86 : 1,549.64 = 485.12 : x
  2. Step 2: Convert to fraction form
    1,032.86/1,549.64 = 485.12/x
  3. Step 3: Cross multiply
    1,032.86x = 1,549.64 × 485.12
  4. Step 4: Simplify right side
    1,032.86x = 751,754.82
  5. Step 5: Solve for x
    x = 751,754.82/1,032.86
  6. Step 6: Final answer
    x = 727.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.