Home / 1,584.50-2,376.75-430.25

Finding the Fourth Proportional to 1,584.50, 2,376.75 and 430.25

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Solution

The fourth proportional to 1,584.50, 2,376.75 and 430.25 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.50 : 2,376.75 = 430.25 : x
  2. Step 2: Convert to fraction form
    1,584.50/2,376.75 = 430.25/x
  3. Step 3: Cross multiply
    1,584.50x = 2,376.75 × 430.25
  4. Step 4: Simplify right side
    1,584.50x = 1,022,596.69
  5. Step 5: Solve for x
    x = 1,022,596.69/1,584.50
  6. Step 6: Final answer
    x = 645.38

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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.