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Finding the Fourth Proportional to 1,522.35, 2,283.98 and 645.23

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Solution

The fourth proportional to 1,522.35, 2,283.98 and 645.23 is: 968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.35 : 2,283.98 = 645.23 : x
  2. Step 2: Convert to fraction form
    1,522.35/2,283.98 = 645.23/x
  3. Step 3: Cross multiply
    1,522.35x = 2,283.98 × 645.23
  4. Step 4: Simplify right side
    1,522.35x = 1,473,677.77
  5. Step 5: Solve for x
    x = 1,473,677.77/1,522.35
  6. Step 6: Final answer
    x = 968.03

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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.