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Finding the Fourth Proportional to 1,525.85, 2,288.85 and 430.30

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Solution

The fourth proportional to 1,525.85, 2,288.85 and 430.30 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.85 : 2,288.85 = 430.30 : x
  2. Step 2: Convert to fraction form
    1,525.85/2,288.85 = 430.30/x
  3. Step 3: Cross multiply
    1,525.85x = 2,288.85 × 430.30
  4. Step 4: Simplify right side
    1,525.85x = 984,878.56
  5. Step 5: Solve for x
    x = 984,878.56/1,525.85
  6. Step 6: Final answer
    x = 645.46

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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.