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Finding the Fourth Proportional to 1,128.75, 1,693.46 and 479.54

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Solution

The fourth proportional to 1,128.75, 1,693.46 and 479.54 is: 719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.75 : 1,693.46 = 479.54 : x
  2. Step 2: Convert to fraction form
    1,128.75/1,693.46 = 479.54/x
  3. Step 3: Cross multiply
    1,128.75x = 1,693.46 × 479.54
  4. Step 4: Simplify right side
    1,128.75x = 812,074.54
  5. Step 5: Solve for x
    x = 812,074.54/1,128.75
  6. Step 6: Final answer
    x = 719.45

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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.