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Finding the Fourth Proportional to 1,057.82, 1,588.28 and 781.03

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Solution

The fourth proportional to 1,057.82, 1,588.28 and 781.03 is: 1,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,588.28 = 781.03 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,588.28 = 781.03/x
  3. Step 3: Cross multiply
    1,057.82x = 1,588.28 × 781.03
  4. Step 4: Simplify right side
    1,057.82x = 1,240,492.41
  5. Step 5: Solve for x
    x = 1,240,492.41/1,057.82
  6. Step 6: Final answer
    x = 1,172.68

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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.