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Finding the Fourth Proportional to 1,509.34, 2,082.52 and 879.48

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Solution

The fourth proportional to 1,509.34, 2,082.52 and 879.48 is: 1,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.34 : 2,082.52 = 879.48 : x
  2. Step 2: Convert to fraction form
    1,509.34/2,082.52 = 879.48/x
  3. Step 3: Cross multiply
    1,509.34x = 2,082.52 × 879.48
  4. Step 4: Simplify right side
    1,509.34x = 1,831,534.69
  5. Step 5: Solve for x
    x = 1,831,534.69/1,509.34
  6. Step 6: Final answer
    x = 1,213.47

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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.