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Finding the Fourth Proportional to 1,012.08, 1,394.65 and 731.82

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Solution

The fourth proportional to 1,012.08, 1,394.65 and 731.82 is: 1,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.08 : 1,394.65 = 731.82 : x
  2. Step 2: Convert to fraction form
    1,012.08/1,394.65 = 731.82/x
  3. Step 3: Cross multiply
    1,012.08x = 1,394.65 × 731.82
  4. Step 4: Simplify right side
    1,012.08x = 1,020,632.76
  5. Step 5: Solve for x
    x = 1,020,632.76/1,012.08
  6. Step 6: Final answer
    x = 1,008.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.