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Finding the Fourth Proportional to 1,098.72, 1,647.36 and 522.24

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Solution

The fourth proportional to 1,098.72, 1,647.36 and 522.24 is: 783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.72 : 1,647.36 = 522.24 : x
  2. Step 2: Convert to fraction form
    1,098.72/1,647.36 = 522.24/x
  3. Step 3: Cross multiply
    1,098.72x = 1,647.36 × 522.24
  4. Step 4: Simplify right side
    1,098.72x = 860,317.29
  5. Step 5: Solve for x
    x = 860,317.29/1,098.72
  6. Step 6: Final answer
    x = 783.02

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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.