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Finding the Fourth Proportional to 1,003.66, 1,507.80 and 711.88

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Solution

The fourth proportional to 1,003.66, 1,507.80 and 711.88 is: 1,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.66 : 1,507.80 = 711.88 : x
  2. Step 2: Convert to fraction form
    1,003.66/1,507.80 = 711.88/x
  3. Step 3: Cross multiply
    1,003.66x = 1,507.80 × 711.88
  4. Step 4: Simplify right side
    1,003.66x = 1,073,376.04
  5. Step 5: Solve for x
    x = 1,073,376.04/1,003.66
  6. Step 6: Final answer
    x = 1,069.46

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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.