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Finding the Fourth Proportional to 1,103.48, 1,654.58 and 419.32

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Solution

The fourth proportional to 1,103.48, 1,654.58 and 419.32 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,654.58 = 419.32 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,654.58 = 419.32/x
  3. Step 3: Cross multiply
    1,103.48x = 1,654.58 × 419.32
  4. Step 4: Simplify right side
    1,103.48x = 693,798.49
  5. Step 5: Solve for x
    x = 693,798.49/1,103.48
  6. Step 6: Final answer
    x = 628.74

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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.