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Finding the Fourth Proportional to 1,015.30, 1,523.15 and 430.30

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Solution

The fourth proportional to 1,015.30, 1,523.15 and 430.30 is: 645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.30 : 1,523.15 = 430.30 : x
  2. Step 2: Convert to fraction form
    1,015.30/1,523.15 = 430.30/x
  3. Step 3: Cross multiply
    1,015.30x = 1,523.15 × 430.30
  4. Step 4: Simplify right side
    1,015.30x = 655,412.81
  5. Step 5: Solve for x
    x = 655,412.81/1,015.30
  6. Step 6: Final answer
    x = 645.54

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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.