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Finding the Fourth Proportional to 1,507.34, 2,261.06 and 533.30

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Solution

The fourth proportional to 1,507.34, 2,261.06 and 533.30 is: 799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.34 : 2,261.06 = 533.30 : x
  2. Step 2: Convert to fraction form
    1,507.34/2,261.06 = 533.30/x
  3. Step 3: Cross multiply
    1,507.34x = 2,261.06 × 533.30
  4. Step 4: Simplify right side
    1,507.34x = 1,205,823.30
  5. Step 5: Solve for x
    x = 1,205,823.30/1,507.34
  6. Step 6: Final answer
    x = 799.97

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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.