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Finding the Fourth Proportional to 1,103.50, 1,656.69 and 739.91

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Solution

The fourth proportional to 1,103.50, 1,656.69 and 739.91 is: 1,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.50 : 1,656.69 = 739.91 : x
  2. Step 2: Convert to fraction form
    1,103.50/1,656.69 = 739.91/x
  3. Step 3: Cross multiply
    1,103.50x = 1,656.69 × 739.91
  4. Step 4: Simplify right side
    1,103.50x = 1,225,803.23
  5. Step 5: Solve for x
    x = 1,225,803.23/1,103.50
  6. Step 6: Final answer
    x = 1,110.84

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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.