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Finding the Fourth Proportional to 1,214.84, 1,822.26 and 435.03

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Solution

The fourth proportional to 1,214.84, 1,822.26 and 435.03 is: 652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.84 : 1,822.26 = 435.03 : x
  2. Step 2: Convert to fraction form
    1,214.84/1,822.26 = 435.03/x
  3. Step 3: Cross multiply
    1,214.84x = 1,822.26 × 435.03
  4. Step 4: Simplify right side
    1,214.84x = 792,737.77
  5. Step 5: Solve for x
    x = 792,737.77/1,214.84
  6. Step 6: Final answer
    x = 652.55

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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.