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Finding the Fourth Proportional to 1,106.04, 1,657.22 and 780.74

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Solution

The fourth proportional to 1,106.04, 1,657.22 and 780.74 is: 1,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,657.22 = 780.74 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,657.22 = 780.74/x
  3. Step 3: Cross multiply
    1,106.04x = 1,657.22 × 780.74
  4. Step 4: Simplify right side
    1,106.04x = 1,293,857.94
  5. Step 5: Solve for x
    x = 1,293,857.94/1,106.04
  6. Step 6: Final answer
    x = 1,169.81

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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.