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Finding the Fourth Proportional to 1,349.84, 2,023.03 and 608.65

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Solution

The fourth proportional to 1,349.84, 2,023.03 and 608.65 is: 912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.84 : 2,023.03 = 608.65 : x
  2. Step 2: Convert to fraction form
    1,349.84/2,023.03 = 608.65/x
  3. Step 3: Cross multiply
    1,349.84x = 2,023.03 × 608.65
  4. Step 4: Simplify right side
    1,349.84x = 1,231,320.50
  5. Step 5: Solve for x
    x = 1,231,320.50/1,349.84
  6. Step 6: Final answer
    x = 912.20

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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.