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Finding the Fourth Proportional to 1,300.80, 1,952.67 and 814.14

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Solution

The fourth proportional to 1,300.80, 1,952.67 and 814.14 is: 1,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.80 : 1,952.67 = 814.14 : x
  2. Step 2: Convert to fraction form
    1,300.80/1,952.67 = 814.14/x
  3. Step 3: Cross multiply
    1,300.80x = 1,952.67 × 814.14
  4. Step 4: Simplify right side
    1,300.80x = 1,589,746.75
  5. Step 5: Solve for x
    x = 1,589,746.75/1,300.80
  6. Step 6: Final answer
    x = 1,222.13

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1.5x scale

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.