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Finding the Fourth Proportional to 1,562.25, 2,343.14 and 522.25

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Solution

The fourth proportional to 1,562.25, 2,343.14 and 522.25 is: 783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.25 : 2,343.14 = 522.25 : x
  2. Step 2: Convert to fraction form
    1,562.25/2,343.14 = 522.25/x
  3. Step 3: Cross multiply
    1,562.25x = 2,343.14 × 522.25
  4. Step 4: Simplify right side
    1,562.25x = 1,223,698.35
  5. Step 5: Solve for x
    x = 1,223,698.35/1,562.25
  6. Step 6: Final answer
    x = 783.29

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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.