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Finding the Fourth Proportional to 1,011.21, 1,395.45 and 591.81

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Solution

The fourth proportional to 1,011.21, 1,395.45 and 591.81 is: 816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.21 : 1,395.45 = 591.81 : x
  2. Step 2: Convert to fraction form
    1,011.21/1,395.45 = 591.81/x
  3. Step 3: Cross multiply
    1,011.21x = 1,395.45 × 591.81
  4. Step 4: Simplify right side
    1,011.21x = 825,841.26
  5. Step 5: Solve for x
    x = 825,841.26/1,011.21
  6. Step 6: Final answer
    x = 816.69

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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.