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Finding the Fourth Proportional to 1,310.70, 1,808.91 and 751.23

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Solution

The fourth proportional to 1,310.70, 1,808.91 and 751.23 is: 1,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.70 : 1,808.91 = 751.23 : x
  2. Step 2: Convert to fraction form
    1,310.70/1,808.91 = 751.23/x
  3. Step 3: Cross multiply
    1,310.70x = 1,808.91 × 751.23
  4. Step 4: Simplify right side
    1,310.70x = 1,358,907.46
  5. Step 5: Solve for x
    x = 1,358,907.46/1,310.70
  6. Step 6: Final answer
    x = 1,036.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.