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Finding the Fourth Proportional to 1,524.83, 2,287.24 and 784.28

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Solution

The fourth proportional to 1,524.83, 2,287.24 and 784.28 is: 1,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.83 : 2,287.24 = 784.28 : x
  2. Step 2: Convert to fraction form
    1,524.83/2,287.24 = 784.28/x
  3. Step 3: Cross multiply
    1,524.83x = 2,287.24 × 784.28
  4. Step 4: Simplify right side
    1,524.83x = 1,793,840.34
  5. Step 5: Solve for x
    x = 1,793,840.34/1,524.83
  6. Step 6: Final answer
    x = 1,176.42

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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.