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Finding the Fourth Proportional to 1,523.14, 2,283.93 and 645.30

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Solution

The fourth proportional to 1,523.14, 2,283.93 and 645.30 is: 967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.14 : 2,283.93 = 645.30 : x
  2. Step 2: Convert to fraction form
    1,523.14/2,283.93 = 645.30/x
  3. Step 3: Cross multiply
    1,523.14x = 2,283.93 × 645.30
  4. Step 4: Simplify right side
    1,523.14x = 1,473,820.03
  5. Step 5: Solve for x
    x = 1,473,820.03/1,523.14
  6. Step 6: Final answer
    x = 967.62

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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.