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Finding the Fourth Proportional to 1,098.86, 1,648.22 and 405.40

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Solution

The fourth proportional to 1,098.86, 1,648.22 and 405.40 is: 608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.86 : 1,648.22 = 405.40 : x
  2. Step 2: Convert to fraction form
    1,098.86/1,648.22 = 405.40/x
  3. Step 3: Cross multiply
    1,098.86x = 1,648.22 × 405.40
  4. Step 4: Simplify right side
    1,098.86x = 668,186.36
  5. Step 5: Solve for x
    x = 668,186.36/1,098.86
  6. Step 6: Final answer
    x = 608.07

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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.