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Finding the Fourth Proportional to 1,290.64, 1,781.31 and 731.14

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Solution

The fourth proportional to 1,290.64, 1,781.31 and 731.14 is: 1,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.64 : 1,781.31 = 731.14 : x
  2. Step 2: Convert to fraction form
    1,290.64/1,781.31 = 731.14/x
  3. Step 3: Cross multiply
    1,290.64x = 1,781.31 × 731.14
  4. Step 4: Simplify right side
    1,290.64x = 1,302,386.99
  5. Step 5: Solve for x
    x = 1,302,386.99/1,290.64
  6. Step 6: Final answer
    x = 1,009.10

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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.