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Finding the Fourth Proportional to 1,356.10, 2,034.21 and 575.99

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Solution

The fourth proportional to 1,356.10, 2,034.21 and 575.99 is: 864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.10 : 2,034.21 = 575.99 : x
  2. Step 2: Convert to fraction form
    1,356.10/2,034.21 = 575.99/x
  3. Step 3: Cross multiply
    1,356.10x = 2,034.21 × 575.99
  4. Step 4: Simplify right side
    1,356.10x = 1,171,671.57
  5. Step 5: Solve for x
    x = 1,171,671.57/1,356.10
  6. Step 6: Final answer
    x = 864.00

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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.