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Finding the Fourth Proportional to 1,315.68, 1,814.40 and 849.12

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Solution

The fourth proportional to 1,315.68, 1,814.40 and 849.12 is: 1,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.68 : 1,814.40 = 849.12 : x
  2. Step 2: Convert to fraction form
    1,315.68/1,814.40 = 849.12/x
  3. Step 3: Cross multiply
    1,315.68x = 1,814.40 × 849.12
  4. Step 4: Simplify right side
    1,315.68x = 1,540,643.33
  5. Step 5: Solve for x
    x = 1,540,643.33/1,315.68
  6. Step 6: Final answer
    x = 1,170.99

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1.5x scale

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.