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Finding the Fourth Proportional to 1,310.99, 1,808.53 and 814.20

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Solution

The fourth proportional to 1,310.99, 1,808.53 and 814.20 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.99 : 1,808.53 = 814.20 : x
  2. Step 2: Convert to fraction form
    1,310.99/1,808.53 = 814.20/x
  3. Step 3: Cross multiply
    1,310.99x = 1,808.53 × 814.20
  4. Step 4: Simplify right side
    1,310.99x = 1,472,506.48
  5. Step 5: Solve for x
    x = 1,472,506.48/1,310.99
  6. Step 6: Final answer
    x = 1,123.21

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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.