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Finding the Fourth Proportional to 1,302.58, 1,950.99 and 814.24

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Solution

The fourth proportional to 1,302.58, 1,950.99 and 814.24 is: 1,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.58 : 1,950.99 = 814.24 : x
  2. Step 2: Convert to fraction form
    1,302.58/1,950.99 = 814.24/x
  3. Step 3: Cross multiply
    1,302.58x = 1,950.99 × 814.24
  4. Step 4: Simplify right side
    1,302.58x = 1,588,574.10
  5. Step 5: Solve for x
    x = 1,588,574.10/1,302.58
  6. Step 6: Final answer
    x = 1,219.56

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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.