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Finding the Fourth Proportional to 1,230.03, 1,842.74 and 954.78

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Solution

The fourth proportional to 1,230.03, 1,842.74 and 954.78 is: 1,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.03 : 1,842.74 = 954.78 : x
  2. Step 2: Convert to fraction form
    1,230.03/1,842.74 = 954.78/x
  3. Step 3: Cross multiply
    1,230.03x = 1,842.74 × 954.78
  4. Step 4: Simplify right side
    1,230.03x = 1,759,406.52
  5. Step 5: Solve for x
    x = 1,759,406.52/1,230.03
  6. Step 6: Final answer
    x = 1,430.38

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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.