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Finding the Fourth Proportional to 1,105.04, 1,657.61 and 437.93

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Solution

The fourth proportional to 1,105.04, 1,657.61 and 437.93 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.04 : 1,657.61 = 437.93 : x
  2. Step 2: Convert to fraction form
    1,105.04/1,657.61 = 437.93/x
  3. Step 3: Cross multiply
    1,105.04x = 1,657.61 × 437.93
  4. Step 4: Simplify right side
    1,105.04x = 725,922.62
  5. Step 5: Solve for x
    x = 725,922.62/1,105.04
  6. Step 6: Final answer
    x = 656.92

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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.