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Finding the Fourth Proportional to 1,011.14, 1,395.00 and 591.36

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Solution

The fourth proportional to 1,011.14, 1,395.00 and 591.36 is: 815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,395.00 = 591.36 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,395.00 = 591.36/x
  3. Step 3: Cross multiply
    1,011.14x = 1,395.00 × 591.36
  4. Step 4: Simplify right side
    1,011.14x = 824,944.98
  5. Step 5: Solve for x
    x = 824,944.98/1,011.14
  6. Step 6: Final answer
    x = 815.85

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