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Finding the Fourth Proportional to 1,009.46, 1,505.66 and 978.70

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Solution

The fourth proportional to 1,009.46, 1,505.66 and 978.70 is: 1,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.46 : 1,505.66 = 978.70 : x
  2. Step 2: Convert to fraction form
    1,009.46/1,505.66 = 978.70/x
  3. Step 3: Cross multiply
    1,009.46x = 1,505.66 × 978.70
  4. Step 4: Simplify right side
    1,009.46x = 1,473,589.44
  5. Step 5: Solve for x
    x = 1,473,589.44/1,009.46
  6. Step 6: Final answer
    x = 1,459.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.