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Finding the Fourth Proportional to 1,098.84, 1,648.26 and 415.32

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Solution

The fourth proportional to 1,098.84, 1,648.26 and 415.32 is: 622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.84 : 1,648.26 = 415.32 : x
  2. Step 2: Convert to fraction form
    1,098.84/1,648.26 = 415.32/x
  3. Step 3: Cross multiply
    1,098.84x = 1,648.26 × 415.32
  4. Step 4: Simplify right side
    1,098.84x = 684,555.34
  5. Step 5: Solve for x
    x = 684,555.34/1,098.84
  6. Step 6: Final answer
    x = 622.98

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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.