Home / 1,450.24-2,174.56-584.32

Finding the Fourth Proportional to 1,450.24, 2,174.56 and 584.32

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Solution

The fourth proportional to 1,450.24, 2,174.56 and 584.32 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.24 : 2,174.56 = 584.32 : x
  2. Step 2: Convert to fraction form
    1,450.24/2,174.56 = 584.32/x
  3. Step 3: Cross multiply
    1,450.24x = 2,174.56 × 584.32
  4. Step 4: Simplify right side
    1,450.24x = 1,270,638.90
  5. Step 5: Solve for x
    x = 1,270,638.90/1,450.24
  6. Step 6: Final answer
    x = 876.16

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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.