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Finding the Fourth Proportional to 1,144.51, 1,715.48 and 749.95

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Solution

The fourth proportional to 1,144.51, 1,715.48 and 749.95 is: 1,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.51 : 1,715.48 = 749.95 : x
  2. Step 2: Convert to fraction form
    1,144.51/1,715.48 = 749.95/x
  3. Step 3: Cross multiply
    1,144.51x = 1,715.48 × 749.95
  4. Step 4: Simplify right side
    1,144.51x = 1,286,528.65
  5. Step 5: Solve for x
    x = 1,286,528.65/1,144.51
  6. Step 6: Final answer
    x = 1,124.08

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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.