Home / 1,526.09-2,288.87-430.20

Finding the Fourth Proportional to 1,526.09, 2,288.87 and 430.20

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Solution

The fourth proportional to 1,526.09, 2,288.87 and 430.20 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.09 : 2,288.87 = 430.20 : x
  2. Step 2: Convert to fraction form
    1,526.09/2,288.87 = 430.20/x
  3. Step 3: Cross multiply
    1,526.09x = 2,288.87 × 430.20
  4. Step 4: Simplify right side
    1,526.09x = 984,669.72
  5. Step 5: Solve for x
    x = 984,669.72/1,526.09
  6. Step 6: Final answer
    x = 645.23

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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.