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Finding the Fourth Proportional to 1,011.03, 1,395.20 and 591.45

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Solution

The fourth proportional to 1,011.03, 1,395.20 and 591.45 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.03 : 1,395.20 = 591.45 : x
  2. Step 2: Convert to fraction form
    1,011.03/1,395.20 = 591.45/x
  3. Step 3: Cross multiply
    1,011.03x = 1,395.20 × 591.45
  4. Step 4: Simplify right side
    1,011.03x = 825,188.08
  5. Step 5: Solve for x
    x = 825,188.08/1,011.03
  6. Step 6: Final answer
    x = 816.19

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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.