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Finding the Fourth Proportional to 1,428.84, 2,143.46 and 455.02

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Solution

The fourth proportional to 1,428.84, 2,143.46 and 455.02 is: 682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.84 : 2,143.46 = 455.02 : x
  2. Step 2: Convert to fraction form
    1,428.84/2,143.46 = 455.02/x
  3. Step 3: Cross multiply
    1,428.84x = 2,143.46 × 455.02
  4. Step 4: Simplify right side
    1,428.84x = 975,312.95
  5. Step 5: Solve for x
    x = 975,312.95/1,428.84
  6. Step 6: Final answer
    x = 682.59

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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.