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Finding the Fourth Proportional to 1,528.72, 2,293.38 and 488.69

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Solution

The fourth proportional to 1,528.72, 2,293.38 and 488.69 is: 733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.72 : 2,293.38 = 488.69 : x
  2. Step 2: Convert to fraction form
    1,528.72/2,293.38 = 488.69/x
  3. Step 3: Cross multiply
    1,528.72x = 2,293.38 × 488.69
  4. Step 4: Simplify right side
    1,528.72x = 1,120,740.41
  5. Step 5: Solve for x
    x = 1,120,740.41/1,528.72
  6. Step 6: Final answer
    x = 733.13

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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.