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Finding the Fourth Proportional to 1,507.53, 2,261.70 and 534.32

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Solution

The fourth proportional to 1,507.53, 2,261.70 and 534.32 is: 801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.53 : 2,261.70 = 534.32 : x
  2. Step 2: Convert to fraction form
    1,507.53/2,261.70 = 534.32/x
  3. Step 3: Cross multiply
    1,507.53x = 2,261.70 × 534.32
  4. Step 4: Simplify right side
    1,507.53x = 1,208,460.24
  5. Step 5: Solve for x
    x = 1,208,460.24/1,507.53
  6. Step 6: Final answer
    x = 801.62

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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.