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Finding the Fourth Proportional to 1,077.37, 1,613.35 and 751.21

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Solution

The fourth proportional to 1,077.37, 1,613.35 and 751.21 is: 1,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.37 : 1,613.35 = 751.21 : x
  2. Step 2: Convert to fraction form
    1,077.37/1,613.35 = 751.21/x
  3. Step 3: Cross multiply
    1,077.37x = 1,613.35 × 751.21
  4. Step 4: Simplify right side
    1,077.37x = 1,211,964.65
  5. Step 5: Solve for x
    x = 1,211,964.65/1,077.37
  6. Step 6: Final answer
    x = 1,124.93

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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.