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Finding the Fourth Proportional to 1,106.51, 1,657.95 and 758.66

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Solution

The fourth proportional to 1,106.51, 1,657.95 and 758.66 is: 1,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.51 : 1,657.95 = 758.66 : x
  2. Step 2: Convert to fraction form
    1,106.51/1,657.95 = 758.66/x
  3. Step 3: Cross multiply
    1,106.51x = 1,657.95 × 758.66
  4. Step 4: Simplify right side
    1,106.51x = 1,257,812.06
  5. Step 5: Solve for x
    x = 1,257,812.06/1,106.51
  6. Step 6: Final answer
    x = 1,136.74

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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.