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Finding the Fourth Proportional to 949.03, 1,424.43 and 584.53

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Solution

The fourth proportional to 949.03, 1,424.43 and 584.53 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.03 : 1,424.43 = 584.53 : x
  2. Step 2: Convert to fraction form
    949.03/1,424.43 = 584.53/x
  3. Step 3: Cross multiply
    949.03x = 1,424.43 × 584.53
  4. Step 4: Simplify right side
    949.03x = 832,612.02
  5. Step 5: Solve for x
    x = 832,612.02/949.03
  6. Step 6: Final answer
    x = 877.33

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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.