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Finding the Fourth Proportional to 1,008.60, 1,509.24 and 833.64

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Solution

The fourth proportional to 1,008.60, 1,509.24 and 833.64 is: 1,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.60 : 1,509.24 = 833.64 : x
  2. Step 2: Convert to fraction form
    1,008.60/1,509.24 = 833.64/x
  3. Step 3: Cross multiply
    1,008.60x = 1,509.24 × 833.64
  4. Step 4: Simplify right side
    1,008.60x = 1,258,162.83
  5. Step 5: Solve for x
    x = 1,258,162.83/1,008.60
  6. Step 6: Final answer
    x = 1,247.43

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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.