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Finding the Fourth Proportional to 1,522.32, 2,283.68 and 700.48

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Solution

The fourth proportional to 1,522.32, 2,283.68 and 700.48 is: 1,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.32 : 2,283.68 = 700.48 : x
  2. Step 2: Convert to fraction form
    1,522.32/2,283.68 = 700.48/x
  3. Step 3: Cross multiply
    1,522.32x = 2,283.68 × 700.48
  4. Step 4: Simplify right side
    1,522.32x = 1,599,672.17
  5. Step 5: Solve for x
    x = 1,599,672.17/1,522.32
  6. Step 6: Final answer
    x = 1,050.81

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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.