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Finding the Fourth Proportional to 1,506.94, 2,260.80 and 533.14

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Solution

The fourth proportional to 1,506.94, 2,260.80 and 533.14 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 2,260.80 = 533.14 : x
  2. Step 2: Convert to fraction form
    1,506.94/2,260.80 = 533.14/x
  3. Step 3: Cross multiply
    1,506.94x = 2,260.80 × 533.14
  4. Step 4: Simplify right side
    1,506.94x = 1,205,322.91
  5. Step 5: Solve for x
    x = 1,205,322.91/1,506.94
  6. Step 6: Final answer
    x = 799.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.