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Finding the Fourth Proportional to 1,507.66, 2,261.74 and 534.04

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Solution

The fourth proportional to 1,507.66, 2,261.74 and 534.04 is: 801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.66 : 2,261.74 = 534.04 : x
  2. Step 2: Convert to fraction form
    1,507.66/2,261.74 = 534.04/x
  3. Step 3: Cross multiply
    1,507.66x = 2,261.74 × 534.04
  4. Step 4: Simplify right side
    1,507.66x = 1,207,859.63
  5. Step 5: Solve for x
    x = 1,207,859.63/1,507.66
  6. Step 6: Final answer
    x = 801.15

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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.