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Finding the Fourth Proportional to 1,518.65, 2,277.72 and 423.02

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Solution

The fourth proportional to 1,518.65, 2,277.72 and 423.02 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.65 : 2,277.72 = 423.02 : x
  2. Step 2: Convert to fraction form
    1,518.65/2,277.72 = 423.02/x
  3. Step 3: Cross multiply
    1,518.65x = 2,277.72 × 423.02
  4. Step 4: Simplify right side
    1,518.65x = 963,526.81
  5. Step 5: Solve for x
    x = 963,526.81/1,518.65
  6. Step 6: Final answer
    x = 634.46

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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.