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Finding the Fourth Proportional to 1,509.42, 2,082.94 and 846.25

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Solution

The fourth proportional to 1,509.42, 2,082.94 and 846.25 is: 1,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.42 : 2,082.94 = 846.25 : x
  2. Step 2: Convert to fraction form
    1,509.42/2,082.94 = 846.25/x
  3. Step 3: Cross multiply
    1,509.42x = 2,082.94 × 846.25
  4. Step 4: Simplify right side
    1,509.42x = 1,762,687.98
  5. Step 5: Solve for x
    x = 1,762,687.98/1,509.42
  6. Step 6: Final answer
    x = 1,167.79

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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.